Do we need to restrict US military veterans from flying on passenger aircraft?

Yes, I am going to extremes here.

The guy who shot and killed those people in Florida yesterday is a US military veteran. He had packed his firearm, retrieved it from baggage claim, loaded it, and came out shooting.

Following Trump’s “ban all muslims because a few of them do bad things” philosophy, wouldn’t in also follow that Iraq war veterans should be banned from flying because one of them shot and killed people?

[No, don’t take this seriously. I’m trying to point out the ridiculousness of the anti-muslim hysteria.]