Democrats dont like it, but say they cant do anything but criticize it. This is a politically easy position for them to take, and ultimately only sends a message of weakness to those against whom the surge is directed.
Of course, theres always Joe Lieberman, now emphasizing the adjective, rather than the proper noun it modifies. His victory in blue state Connecticut gives the lie, I think, to those who claim that theres little support for doing what it takes to win the war. Consider, for example, this polling data.