Ignoring the rest of this nonsense, most people try to find a profession in line with their temperament and tastes. For that reason alone, I strongly doubt there are very many if any "effeminate" guys who are police officers, LGBT or not. But even if there were, so what? I don't see how it'd interfere with their ability to do the job. In all likelihood, that's because it doesn't.
It's hilarious to me how you just posted those pictures with no explanation, as if they contain things that are obviously, self-evidently horrific, yet none of the scenes or people in them look "Hellish" or remotely menacing in any way. In fact, most of those people seem to be happy, well-adjusted individuals enjoying themselves. They look quite friendly, actually, and I bet they'd be fun people to hang out with. On the other hand, the same can't be said for you. I have to admit, though, that I'd find it pretty hard to take someone with hot-pink hair very seriously as an authority figure, but if they pulled me over, my laughter getting me into trouble would be my problem.
Also, #protip: you didn't post this on #Twitter, #numbnuts. Kindly #PutDownTheBible, #RemoveYourHeadFromYourAss, and #RejoinReality.