As a citizen of a political body, isn't it a conflict of interest for anyone to run for office?

Typically, branches of the military are 'apolitical' but yes.

I doubt I fully understand the 'apolitical' nature of the military since I am not a member.  So does it really mean you give up your citizenship when you join the military?   I know orders are orders and you are not to insert reason, logic, emotion, etc into the equation.   But outside of direct orders, I expect every member of the military has their own set of positions, values, and idealogical beliefs they are interested in pursuing and some would like to make a difference in their community.   Sometimes that may mean they have to address issues contrary to the official position of the military.   It almost sounds like a "don't ask don't tell" policy.  You can have political opinions and beliefs as long as you don't actually let anybody know and by all means don't try to act on them.

You're no longer active, right? 

There are already provisions allowing military and national guard personnel to hold office - this amendment applies to the Texas State Guard, who were overlooked when the aforementioned allowances were made.