There's some serious BS floating throughout this post. I'm half tempted to delete a couple posts from here for the sake of ridding the rumors. But I won't. Cierno, it appears to me that you have been communicating with the enlisted recruiters about officer programs. Rarely is this a good idea since it often becomes misleading for the person who desires to become an officer. Enlisted recruiters are paid to bring quality people into the enlisted ranks. That is their job. Their job is not to be a referral service for the officer recruiters. What you are most likely to get from the enlisted recruiters is why it is in your best interest to enlist in the Navy.
As I have said in other posts....if you have a bachelor's degree and you want to join the military, seek out a commission. Why would you short change yourself by enlisting if your goal is to be an officer? If your goal is to be a great chief or master chief some day, enlist, enlist, enlist. However, you are going about achieving your goals in a bass ackward way if you want to be an officer. I'm going to address your questions and bogus info piece by piece.
"The highest was a 3.6 or 3.7 for Nuclear or Seals." - I'm gonna have to raise the BS flag on this one. If this was the case, then there would be even fewer people applying for the nuke program than there is already.
"I decided to enlist and take the Enlisted Commissioning Path within the STA-21 program towards becoming an officer. My recruiters told me that I could be OCS eligible in about 1 to 1 1/2 years. Does this sound correct?" - First, the STA-21 program and OCS are separate. STA-21 is for those that don't yet have their degree. This doesn't apply to you, not to mention that it's extremely competitive anyway. While it may be possible for you to be elible for OCS in 18 months, your competition will be greater as a person on active duty than if you applied as a civilian. Personally, I don't think that 18 months is a realistic timeframe to become competive.
"I forgot to mention that I want to pursue an officer position in the Nuclear Program (specifically in Nuclear Electronics)." - No such animal in the officer community. As a nuke officer, you are either a Surface Warfare Officer (SWO) or a Submariner. What you are referring to in the above statement is an enlisted rating within the nuke community (Electronics Technician).
"I want to learn a trade (specifically in electronics/Nuclear Electronics) so I can later apply my business degree with a background in electronics." - don't become an officer then.
"The recruiters told me that for the Nuclear Program you need a minimum of 1 semester of college physics and 1 semester of college calculus along with a high enough gpa." - Pure 100% BS! You probably got this info from the enlisted recruiters. Any officer recruiter giving you info on the nuke officer community knows full well that Naval Reactors won't consider you for an interview unless you have at least taken one academic year (two semesters or 3 quarters of calculus and the same for calc based physics). The physics you take must be calculus based. College physics is usually NOT calc based. However, engineering physics typically is. You'll have to check. As for the GPA, the higher the better, but you're going to need at least a C.
"I don't have the calculus and physics background in my business degree. They told me that if I enlisted in the Nuclear Program, I would fulfill the calculus and physics aspects of the pre-requisites upon completion of "A" school." - Negative Ghostrider. This is purely false. Please refer to my explanation directly above. The requirement of having the year of calc and calc based physics is UNWAIVERABLE and can only be fulfilled by taking it at an academic institution. Of course, if you want to go through enlisted nuke power school, you don't need any calculus or physics. RECOMMENDATION: sign up for these courses at the local community college and study your ass off.
"Since I would already be enlisted in the Nuclear Program I would not need the 3.7 gpa requirement if I were applying directly out of college." - Again, this seems a little high. The nuke community needs people. I know they accept people with GPA's of 2.7
"If the three different recruiters I talked to were talking out of their asses, then I'm up ****'s creek without a paddle and I will remain enlisted." - Please email me their names and I will personally give them a call. If I find out they are giving out this kind of info, I will call their regional Enlisted Programs Officer (their department head).
"Otherwise, I'll be eligible to apply to the Nuclear Program upon completion of A school, during the first week of Nuclear Power School (while I am concurrently enrolled in Nuclear Power School). After the 3-4 weeks of application processing time, I'll hopefully be accepted into the program." - No, this timeline is extremely unrealistic. You will need a minimum GPA (in A school/power school) in order for your chain of command to endorse your app. 'A' School is tough. Power School is just downright hard.
"If push comes to shove, I wouldn't mind going into the supply side, but it's not nearly as interesting or hand's on as some of the more technical officer programs (Nuclear Electronics). " - As an officer, you will be a manager. Unless you're flying a plane or shooting a gun, your hands better not be in anything. That's what the enlisted ratings are for. They are the technicians, and appropriately trained as such.
Eteled stated in his post that the enlistment route seems to be your best choice since you lack a technical degree. While it doesn't hurt to have a technical degree, you won't be penalized by having a degree in Finance PROVIDING that you prove you can handle the physics and calculus. If you show a mastery of these courses you will be able to show Naval Reactors that you have the capacity to make it through Nuke Power School. Enlisting will not get you their faster. Hell, before you even made it through bootcamp, you could have one semester of calculus completed.
I am a prior enlisted nuke (electrician's mate). The whole training pipeline is tough and mentally draining. I did quite well in 'A' school and power school and was the first to qualify at protype. After I got my commission and then later, my qualification as a SWO, I applied to be a SWO-nuke. Even though I had already proven I could make it through the program, my application was denied because I didn't have the full year of Calculus and Calc based physics. Rediculous, yes. But that's the requirement and it's non-negotiable. Been there, done that, got the t-shirt.
One final note. Nuclear Power School that enlisted personnel go through is not the same Nuclear Power School that officers go through. There are some differences between the two of them. If for some reason, you were to enlist and went through enlisted power school and subsequently got selected for OCS 1, 2, 3 years or whatever later down the road, you would have to go through the officer version of power school and prototype to be a nuke officer. The pipeline for each is not the same because they each have different objectives. The only way of getting around this is if you were an Limited Duty Officer (LDO).
If you haven't done so already, check out this link. It has contact info on there as well.
http://www.cnrc.navy.mil/nucfield/
Good luck.