Since they agreed to round up Jewish settlers, and cart them off of their land in the name of "peace."
Separation or disengagement is not "in the name of peace". It is doing what is strategically necessary to survive the facts on the ground as they exist today. It is about making it difficult for the Palestinians to continue their terror war.
Nobody seriously believes disengagement will lead to any sort of peace agreement. OK, maybe a few real leftists do, but they are few and far between.
Likud, for those who don't know it, is roughly the equivalent of the Republican party in Israel with Labour (Avodah) being the closest equivalent to the Democrats.