It's of course generation and location dependent, but I don't expect any people in my circles to have a negative view on it.
Yes, but remember this happened in the United States, which is a country that recently banned abortion in many of its states. It is not at all a "liberal country", even though parts of it, and a significant part of its population, are quite liberal. In particular, the people working in jobs like customs and immigration enforcement are NOT liberal at all.
When I think "liberal" I think the liberal vein of natural rights philosophy - Locke, Hobbes, Rousseau, Jefferson, et cetera - which implies a kind of unique anthropology in which man is no longer axiomatically communal, but first and foremost an individual without a common final end with his fellow man. This is the philosophical basis for both "economic" and "social" liberalism.