Should mitary members trained on handguns have to go through the same requirements to get a carry permit as a civilian?

Different states have different training requirements. The state of VA accepts military training as acceptable proof of training for a Concealed Handgun Permit.

Other states have stricter requirements. Others more lenient.

Since there is no federal standard (like driver's licenses), there is no universal standard, and you will have 50 different standards as you move from state to state.

Sounds reasonable but many/ most states have varied requirements for a ccw permit. Standardized requirements would probably allow military qualified members this privilege

I think for active duty it should be reciprocal for Military Cert and Civilian at the same time, as for retired or Veterans, I think it is a good idea to re-cert every 5 years or so, as Michigan has that requirement currently. As a current CPL holder in Michigan and having to do this every 5 years, not that big of a deal really, since I shot all the time and try to keep myself upon current laws and regs for the state, it would be nice if all 50 states recognized the permits across state lines though!