Atheist fundamentalists will engage in different repressive tactics than the religious. White nationalist movements are essentially an atheistic type of fundamentalism that would do something like that, but you can see these violent tendency on leftwing atheistic fundamentalists as well, just not directed at homosexuals. Like the famous bikelock guy who attacked people for wearing red hats, or antifa who used violence to overtake and rob small and big businesses alike.
If we just look at homosexuality than no intersectionalists are not going to physically attack them on that characteristic alone, it would be more like the white kid walking to school with dreadlocks being physically attacked for cultural appropriation. The lumpen proletariat will not be attacked until a marxist revolution is complete, but even assuming it is never complete than physical attacks and thought stopping behavior is going to occur. Here are some favorite slogans at leftist gatherings
1. Punch a nazi (they have a very liberal definition of Nazi that even encapsulate zionist Jews apparently)
2. The only good cop is a dead cop
3. No justice no peace
It's a different type of violence and I would say that not all of the violence is physical if that makes sense. For example if a Christian wants to stop free speech by banning porn than while not directly violent, we do know that the responsibility to impose that ban would fall on police who necessarily need to use violence to enforce the ban. The intersectionalists will use a similar type of violence in addition to the physical violence. Make an edgy meme and work for somebody else, or even a meme that is innocent but they take as edgy, your boss will get 100 harassing calls demanding you are fired. Own a business and do the same, be prepared to get review bombed and to have employees threatened on the phone. We also know that doxxing campaigns are also a threat of violence shaded with plausible deniability to say "I know who you are and where you are". It's meant as a type of censorship as well and enforced by threats of violence.
So essentially you are right, the fundamentalist tendencies present in different ways, and some ways are worse than others. Christian fundamentalists will ban Gay marriage, lefty political fundamentalists will not, Muslim fundamentalists will throw them off of a roof. There are zero openly gay couples in palestine unless it is dumb Israeli settlers who care very little for their own safety.
