Yes, I would be surprised if a Libertarian advocated welfare.
No, I would not be surprised a Libertarian advocated welfare.
Yes. I am a libertarian and it goes against everything we stand for. We believe in private charity such as churches, private individuals, and private parties to provide welfare services, not the government. If you support any kind of big government program like welfare, you are not a true Libertarian.
There is such thing socially liberal Libertarians.