I didn't say it would be a sign of weakness, only that it would be perceived as such. And, to some extent, perceptions have validity and other's perceptions have to be taken into account in formulating policy.
But there's no reason to aggravate the situation with unconditional support of Israel
I honestly do not understand where this idea comes from that we "unconditionally support" Israel. We give money to Palestinians. WE asked THEM to go back to the negotiation table with the PLO terrorist state. Powell has never ceased in his calls for Israel to temper itself, to curb its actions.