Yes, of course, in the sense that they have the same rights they have now.
This question is of course a loaded one, with certain people claiming "rights" where none exist.
Indeed. I dislike the vagueness as to what, exactly, a 'right' is. I didn't answer the poll question for this very reason.
However, heterosexuals can marry someone who they are sexually attracted to and get rewarded for it in the form of a tax break. Homosexuals cannot. While this is not necessarily a 'right,' it is a disparity in how different people are treated by the government.