Straight women are allowed in the military.
How would gay men feel if straight women tried to hit on them, or gay women feel if straight men tried to hit on them? It goes both ways.
Most people only bother hitting on other people if they have a chance. If they know the other person isn't interested, they usually won't bother wasting the time, energy, or risking the rejection. This actually goes doubly for gay people as they risk getting beaten up or treated with disgust if they hit on someone who isn't gay, so they are often extra careful.
All of that aside, gay people have just as much professionalism as straight people (meaning, some do and some don't, both are just as capable of being obnoxiously inappropriate), they have a job to do. Making eyes at your teammates, straight, gay, male, or female adversely impacts performance, and any responsible human being, gay or straight, male or female will avoid it.
To insinuate that gay people in general have less of a sense of propriety is insulting. If straight people are uncomfortable around a gay person because they are afraid of being hit on they are both full of themselves and too insecure to just say, "Sorry, I'm not interested." Both are the straight person's problem and have nothing to do with anything the gay person actually does.
As for your school experience, I don't know where you live, but everywhere I've been, I've seen more straight people trying to "convert" gay people. What you've described smacks of second hand demonization.

The problem in relation to homosexuals is that we live in a society where men and boys are raped as well. We know it happens in our prisons and it can even happen to men in society as a whole. There are no men's movements that address this and the feminists laugh asking "what kind of a man let's himself be raped"... thought it was about power or at least that's what's said when it happens to women.

In the same way we see the feminists speak such anger and hatred towards men concerning rape, have you ever wondered how a man would react in relation to fear or pain of being raped? And who would rape a man? Why, another man right and that means a gay man because a straight man wouldn't do this... maybe a bisexual man but still, it is a homosexual act.

Take that knowledge and ask how a woman who hates men might react if forced into closed quarters with him and if she could keep things professional or not take things personal if he accidentally puts his arm around her reaching for something and gets too close for comfort. Then ask if women have been raped in the military... answer there is yes and the military often trys to hush it up right?? Now what if it's a man who gets raped? He's in the military... he's supposed to be macho and strong... then he's overpowered and raped... is he going to tell? And if he does, will anything be done about it risking the media finding out? If a man rapes another man in the military... expect a casualty from friendly fire or the rapist to be soundly beaten by other officers if they learn about it.

Gay men have every right to serve as a straight man. But before addressing this as homophobia alone... please consider that the underlying phobia may not be that their fellow officer is gay, it may be the same as any woman who fears being raped. Don't oversimplify it as gay bashing or homophobia as these men are standing together just like feminists do towards men...

As for Neo Nazi's. If they want to kill maim and destroy... if that's your objective, then who better to send in as shock troops because you know they'll have no problem doing that.