I personally wouldn't feel any shame if that is what they wanted to do. However, if they were doing it because they were in a poor financial situation and stripping was an option to improve their situation, I still wouldn't feel shame but I wouldn't be happy about the situation, either.
That depends on the guy. Some will not date a stripper or allow their significant other to strip, while some don't mind.
I'm not aware of any groups that exist with the sole purpose of opposing stripping, there are many organizations and individuals who do oppose it and all forms of pornography.
Myself, as long as it is consensual, I don't mind or care. I'm far more concerned about situations, such as poverty, that draw people, mostly women, into stripping even though they may not really want to do it.