To not tolerate the intolerant is of course a no-win trap.
Oh hey, it's that time again! Obligatory awesome post.
Basically, intolerance of intolerance is not okay. And you certainly can't claim to be "good because I'm tolerant" if you're only tolerant of people and ideologies that you like! As an ex-intolerance-intolerator, LET US DISCUSS THIS POSTHASTE.
And something to keep in mind for the kneejerk reaction to this I think a lot of people will have: accepting and tolerating are not the same. A Mormon who finds out their nephew is gay and still invites him to family dinners, but doesn't actively support them or want to attend their wedding, is tolerating, but not accepting. A Muslim who finds out their daughter has become Christian, and helps her set up a small shrine to Jesus the Prophet with a cross and etc. is accepting, not just tolerating. Don't accept intolerance. But you need to at least tolerate it.
Speaking of, acceptance is not a requirement for being a good person. It's certainly nice, but going from tolerance to acceptance is a heavy shift; you can always tolerate someone's viewpoint (not necessarily the actions of intolerance; viewpoints that are prejudiced are a different matter entirely from actions), even if it's unseemly or antithetical to your own; accepting it requires your own to change, however.
@LW: From what I've seen of the alt-right, they don't support LGBT whatsoever. Though I suppose when I think alt-right I think monarchists and shit, not just 'far-right pseudo-nazis'.
And for your daily announcement: Remember citizens! A lack of aggression, without a show of submission, is just a more devious hostile act. Seek out the enemy in all their forms, and destroy!
... Are you telling people to tolerate people being intolerant towards them?
No. Tolerate viewpoints you don't like. Don't tolerate people carrying out actions which are harmful to others or yourself.