To start with there will never be a President Jindal, but supposing he was elected, he is eligible, there would be no eligibility problem with Jindal. Military personnel would have no standing to question his eligibility so your whole point is moot.
The place to settle the Bozo eligibility question is in the courts because Congress will never approach it. The dimwits don't care about the people, they only care about power, they want to be the next politburo and have total control over us. They hate the constitution and the people of this country who stand behind it.
The founding fathers wanted us to handle disputes through constitutional means, not through the courts. Read Mark Levin’s books about the dangers of having a krytocracy.