I think people forget that in a raid environment a single warrior is not the only one interrupting. This is why we have at least another 9 other people in the raid with us...to help deal with things like this. Not only that but, for the most part, interruptable abilities on an a very easily predicted timer. The majority of these abilities (are there exceptions? Yes, but exceptions do not make the rule) are cast every X seconds, usually lining up with interrupt CD's.
Basically....teach other DPS that they can also interrupt.