As you've stated elsewhere that you need leftists, I would happily role-play one.
Bearing in mind the period (and 'place') this is set in, I doubt you could play one especially convincingly*. You'd be an ideal fit for a Residents Association character, fwiw, and having them active could make things on the right more interesting.
*While there's no reason not to play a character with very different views to the ones that you have in the real world, unless there's empathy there on some level, then its probably best not to veer too far away. The same would apply to me, actually; I wouldn't be able to 'play' a Thatcherite in something like this without resorting (perhaps not even consciously) to some pretty crude stereotyping.