Let me know the names of any Democrats it won't sit well with.
I have a brother who is a Democrat with whom Amnesty doesn't sit well.
In fact, given that I've seen statistics of the order of 80% of Americans don't want amnesty, I'm going to have to say that a large segment of Democrats don't.
Wikipedia: As of 2010, Gallup polling found that 31% of Americans identified as Democrats (tying a 22-year low), 29% as Republicans, and 38% as independents.
Given that approximately a third of Democrats would have to oppose amnesty in order to reach the 80% mark even if only Democrats supported it — and that's not a good assumption to make; especially since we've seen several Republican elites spilling just how much they want amnesty, too — I think that a better predictor would be "elites" (whether political, bureaucratic, or financial) vs. "the average Joe" rather than political party.