Unfortunately, this isn't the Supreme Court. I'm using the same definition to reach a different answer
Actually I'd not been off a train long and was looking for a cheap answer...
But, basically, I don't consider Hitchens to be on 'the Left' for a couple of reasons that I'll now fail to explain very well.
Fundamentally Hitchens stands for a certain sort of establishment (as in the highly specific context of 'literary establishment'; see also tossers like Martin Amis) liberalism (which is in practice
highly conservative, at least in its position within intellectual tendencies) and that's not something that I would ever consider to be left-wing in a meaningful sense. Even the contraryism noted earlier fits into that pattern quite clearly, though not nearly so much as his tireless defence of a certain ideal of Western values. He's not strayed far from this territory for a very long time, whatever his views on issues outside the remit of that intellectual territory might be.
Hitchens, of course, has a great deal of left-wing baggage (as noted earlier his more unpleasant intellectual habits are clearly influenced by his time as a youthful Trot, and then you also have his things for Orwell and Marx), but then so do/did the neoconservatives. Unlike them, though, he's not actually crossed over to the Right and if what is not Right is Left, then he must be considered as Left. But I would always demand a little more than that.
Ramble, ramble, ramble.