No, it won't. If the Dems don't vote against withdrawal then we can tag their entire PARTY as Michael Moore.
If most vote against, their base will hate them.
If it's mixed, we're the majority still on issue and the sizeable minority placates their base somewhat but still leaves a stench of white flag about their Party.
The only way it hurts is if we lose the vote, if so, all politicians go straight to hell and lose their next elections.
Any of these scenarios is a loss for Democrats. Only one for Republicans.
Good thinking there.