Okay, let's go through this bit per bit.
People having sex outside of their house is wrong, but it is not a gay problem, it's a people problem. Only, if you can show me any statistic which proves that this is a gay people problem we can discuss about this argument. Else, it's just a story trying to manipulate people into "look what they're doing in front of our kids, that's terrible!!!" to harness prejudice.

Then, yes, you said it correctly "people should" but unfortunately there is still an insane amount of people which doesn't think that these people should live peacefully. Especially in religious families there are still many people told and taught to suppress their feelings and you can find those kind of people in all big cities.

"It absolutely makes sense, in times where homosexuality
is more promoted (including the gender agenda) than family
protection."

This is just not right, heterosexuality is not only promoted, but by many religions even enforced onto people. The vast majority of people you see in movies, television series or the newspaper are heterosexuals. I live in the gay capital of my country, I'm heterosexual but no one ever promoted homosexuality to me and told me to try it. This does not happen. I have never heard of homosexuals trying to impose their lifestyle onto heterosexuals. The only thing they impose is being respected.

"classic family construct of one real man and one real woman, which by the way is the only way humanity can evolve."

The only way a child is made is through a biological man and a biological woman if that is what you meant. We got over 7.5 billion people on this planet. I think we could need a bunch of people who do not want children, that's actually pretty good for our ecosystem. Our cities are crowded already, even for our society that would be beneficial.

So, no, it really doesn't make any sense to have a straight people parade. That's the status quo, no one is ashamed of being straight, no one is ashamed of having kids and raising them in a heterosexual family and no one is being suppressed for being heterosexual. There is no reason whatsoever to do this.