Israel invades the gaza strip.

Subdued? Perhaps. Sterilized? Not if people keep trying to "fix it" with violence. Violence doesn't fix what's broken. Terrorism, in most cases, isn't the cause of all trouble. Terrorism is the result of social issues that make people go nuts.
Real help's something the US can't do in most of the cases I know of, so they'll keep half-assing it and use violence one way or another everywhere they meddle.
Isn't part of the real problem that's causing all this xenophobia or some sort of intolerant stance from both parties? I can't see the US having the moral high-ground to preach it. So, if they do decide to meddle, it will be done in the only way they can: violence.

Edit: Also, what's up with the double negatives in this thread? o.o

I honestly have no idea how the violence can stop in Gaza without trust.. because Israel cannot truly commit to peace with terrorists running around with Iranian funded weapons unsettling the two neighbors.