Guuuurl, you in
danger.
To me, he comes across as libertarian/borderline anarchist more than anything else. It baffles me when people still categorize him as strictly a leftist, for while that may be a fair assessment of his politics as a young man, it hasn't accurately reflected his views for quite some time.
Consider his consistent and utter disdain for government and the political establishment, which has informed his art and his politics from the beginning and only became more potent as the years rolled on. If his many anti-government (sometimes borderline seditious) outbursts were limited to the Thatcher years, that would be one thing. But his vitriol runs across the board, regardless of who is in charge, and he clearly abhors what he perceives as a false left-right paradigm ("sick to death of Labour and Tories" etc. etc.). He also seems to have lost whatever faith he might have had in the government as a social regulator. He's definitely not a statist, if he ever was one to begin with; he seems to view the state as inherently violent and aggressive and is suspicious of its power to coerce and impose its will on the body politic. These are the views of someone who wants less government, not more. His egotistic exuberance for romanticized individualism, his remarks on immigration and multiculturalism over the years and his recent endorsement of UKIP comport with some right-libertarian ideologies. He's definitely become much more conservative over the years, at any rate---a development that possibly took root a lot earlier than one might expect (see:
this interview from 1995 in which Moz is downright effusive about Conservative MP John Redwood).
tl;dr: Morrissey is probably some kind of libertarian.