According to the FAR, a military flight check does count as a flight review IF you already hold a rating in the category and class of aircraft that you're doing the review in the VT, which unless you're already single-engine with complex and high-performance endorsement (assuming T-34 / T-6B), I don't know if that would apply.
The other question is, whether you're allowed to log military flight time as civilian.
http://ecfr.gpoaccess.gov/cgi/t/tex...node=14:2.0.1.1.2&idno=14#14:2.0.1.1.2.1.1.35
§ 61.56 Flight review
"(c) Except as provided in paragraphs (d), (e), and (g) of this section, no person may act as pilot in command of an aircraft unless, since the beginning of the 24th calendar month before the month in which that pilot acts as pilot in command, that person has—
(1) Accomplished a flight review given in an aircraft for which that pilot is rated by an authorized instructor and
(2) A logbook endorsed from an authorized instructor who gave the review certifying that the person has satisfactorily completed the review.
(d) A person who has, within the period specified in paragraph (c) of this section, passed a pilot proficiency check conducted by an examiner, an approved pilot check airman, or a U.S. Armed Force, for a pilot certificate, rating, or operating privilege need not accomplish the flight review required by this section."
I believe Jackie Spanitz book on Flight Reviews also mentions it.