I think you are behind the curve on that one. There has been a purge going on for nearly 8 years. I doubt the "conservative" percentage of the armed forces is anywhere near what it has been traditionally.
The troops are solid, as are most of the younger officers and NCOs. They would never go along with overthrowing the government or firing on their fellow citizens, period.
If you would think that, you don't have any contact with our service personnel.