Guess it depends on how they define conservatism. Support for abortion, gay rights, gun control, illegal alien pandering, etc, are really not conservative positions.
Well, about a zillion posts here argue over that question, in the capture the moniker game. If fact, sometimes it seems like almost everyone here does but myself. (I have posted zero posts on the topic - zero, nada, the null set.) I could make an argument that some of the items on your list are "conservative," having to do with the rights of the individual not being circumscribed by intrusive government, but then I could argue the other way too, because I'm a lawyer, and I get paid to do that. Frankly I don't give a d**m what the label is. I put the most emphasis on leadership and management abilities, and on growing the economy, taming the medical subsidy beast, and security. If I put a big premium on the gay rights issue, or prayer in school, or the evolution wars, or stem cells, or the morning after pill, legalizing assault weapons in Manhattan, etc., I would be a Democrat. But I don't.
By the way, if Giuliani wins the nomination, and you going to try to lead your following into supporting a third party candidate?