It's like supporting (eg.) warrantless surveilance (because pedos and terrorists), and then complaining when it's used against you. You supported the system, now shut up and deal with it.
I support criticism of moderation decisions on the basis of freedom of speech for individuals.
You're allowed to say whatever you want, but if you insist on using my property and resources to say it, that's an infringement on my freedom.
These positions aren't inconsistent.
> If you support a system with moderation (censorship) based on peoples beliefs, then you should not complain when the system you supported is used
Again, now you're arguing against free speech. I'd never tell someone they shouldn't complain about something because they said something I didn't like. They're free to complain all they like.
Outrage is also free speech. You're saying if you agree with moderating some things, you should never be allowed to complain about other types of moderation? That's even more antithetical to free speech.