I agree with the sentiment, but unfortunately often this is too simplistic.

For example, a lot of Palestinians are not tolerant towards LGBT people -> a lot of LGBT people are not tolerant towards Israelis -> a lot of Israelis are not tolerant towards Palestinians.

Also how do you know if you are intolerant or intolerant towards intolerance?

"Pas de liberté pour les ennemis de la liberté"

Saint-Just