remember that every religion teaches intolerance to other beliefs. if not directly by simply suggesting it is the only truth.

In every hierarchy, when you define something as better, you automatically define something else as worse. That's how you make any decision in your life. The alternative is inaction.

It has nothing to do with religion. It's an axiom of every value system.

Every religion teaches disagreement with other beliefs, not every one teaches intolerance of them.

Not so. Big difference (and spectrum) between a Buddhist saying "I think my way is better, try it for yourself, or don't!" and a (insert fundamentalist sect here) saying "You deserve to die if you don't think like me." You don't even have to be religious to claim the latter, some political belief systems will also do just fine.