I actually don't notice physical transgressions too terribly much, but I do notice a lot of gays/lesbians saying absolutely awful things about whichever gender they don't care for. Misandry and misogyny can run rampant in the more... passionate factions of the gay spectrum. It's most obvious on the internet. Harder to notice in real life, because it tends to be said in private.
When it comes to matters of appearance, though, gay men are typically no worse than women when it comes to catty comments.
When it comes to unwarranted physical touching, I have barely noticed that at all -- mostly because the average gay person has no actual desire to grope the opposite gender. Sometimes gay men mess around a bit with their "fag hags" at bars or something, but that's almost always consensual because they're both knowingly being stupid-flirty with each other.
The "no sexual attraction" issue can be a problem with both gay and straight friends, as it can be used to dismiss behavior that someone's uncomfortable with. Straight girls are pretty touchy-feely, but sometimes a line gets crossed -- like when one of them does the drunken-straight-girl-make-out-with-my-friend-for-attention thing without any warning, leaving the other to freak out. With gay men, I think retribution is greater with them simply because they are men, and it still plays into that "man taking advantage of woman" theme even if it's mentally similar to the relationship straight girls have.
Misandry and misogyny are very real in certain parts of the gay community, though I don't think inappropriate physical interaction is the big culprit. It's mostly name-calling and insults and treating the opposite gender as worthless. And then the various shades-of-gay may not always get along. There's a lot of bisexual and transexual hate within the community too. Feminine lesbians and masculine gay men can also be the subjects of hate because they don't fit into the "culture." I know of other feminine lesbians who have been called "traitors" for "appealing to the desires of the patriarchy" or whatever.
It's definitely not perfect. The united LGBT+ front is usually there to present a combined force against homophobia, which is a mutual threat, and to fight for equality, which is a mutual interest. Like all alliances, though, once those mutual interests are removed, things can get less chummy.
There are a lot of undercurrents of hate, a lot of them subconscious, toward a lot of people for a lot of different reasons. Even on my end, because I usually don't have many nice things to say about the community, or at least have a lot of dissenting opinions that would get me in trouble.