Story Idea: Time Travelling Writer of Rights?

I was thinking about time travel today, as I often do and realized, I think, once and for all that if I had a time machine, I would not go back in time and kill Hitler. Not baby Hitler, not teenage Hitler, not grown-up Hitler. I am, sadly, a pacifist. What I would do is go back in time and cure homophobia and sexism and racism and transphobia and all of the stuff that makes the present day a human rights violation for, what? Eighty-five, ninety percent of the population?

All of the atrocities in history come down to some charismatic asshole thinking that he (usually) deserves more than everyone else, but he doesn't have more than everyone else, and that seems unfair. So, what to do? Let me look down at my naked body and make a list. Anyone who doesn't look like this should be subjugated. Yeah, sounds good. Let me gather up all of my similarly genitaled and pigmented folk who also want more than what they have, and we'll do something about this together.

At the end of the day, genocide, rape, and theft aren't about lust. They're about power. Social constructs are built or exploited in order for a ratio of few to fuck over a ratio of the many. So, if I had a time machine, I'd go back in time and remove any parts of the Bible that can remotely be used to justify a hate crime, and write, instead, all of the stuff Jesus said over and over and over and over until people walk way from the book with a toothache instead of existential dread. I'd go back in time and re-write all of the history books, scrolls, tablets, cave paintings, whatever in order to show that we, as humans, have mostly just been chill with each other since the beginning of time (whether it's true or not).

So that, in modern day, if some asshole wants to get up on a pulpit and fear monger about a group of people who fit a social construct, trait, or preference, people will look at him and be like, "bruh, wtf are you talking about?"

I'm not saying it would be an easy job. It would take probably a bunch of time travelling writers to keep up with the new dictators and pillagers, and then, of course, we'd have to look out for the assholes who go back in time specifically to do the opposite (writers of wrongs). There's always one. 

So, yeah, that's what I'd do with a time machine. And I think it would be a cool story to read/write. It would have to have enough plot to keep it from seeming preachy, but it could be really fun.