The Linux kernel is tAInted, so it would need to be forked. My current top choice is the NetBSD: it isn't going anywhere, and it's untainted.

I also looked at Redox (sadly Rust is tAInted, so it's a no-go), and Haiku (which is just... a little too obscure). GNU Hurd is tAInted too, and isn't as good of a kernel, so if I'm gonna clean up a kernel, it'll be Linux. Otherwise, it's gonna likely gonna be NetBSD.

So... not really a Linux distro, I'd say, but definitely a Unix-like OS.

As for software from other operating systems, it depends on the kernel I choose. If it's a Linux fork, I'll be super careful to keep it compatible with the Linux ABI. If it's NetBSD, there's compat_linux for Linux binaries. I believe Wine has taken an anti-"AI" stance, so Windows should be alright—if not: old versions exist.

As for your last question: I'm a transfemme (our main difference), (anarcho, probably)-communist, bi/pan, polyamorous, anti-"AI" programmer (who is very open to DMs (I'm lonely af)) :3