Well, assuming we take the speech straight rather than as a joke, there is certainly a fallacy in there. But I'm not sure that it's a special case of begging the question. When we have two incompatible descriptions of a thing, we can get out of trouble by accepting that they apply to different things, but we can also give one of the descriptions up. Much the same applies to incompatible evauations: we can't wholeheartedly support and wholeheartedly condemn in the same breath, but we can accept that we are talking about two different things, or we can give up one of our evaluations.
Since the speaker isn't going to come off the fence, he pretends that the former is the only option. So I'd see it as a case of ignoring or suppressing possibilities.