And that means only they can support it? This isn't the USA, there's no 2 party system where everything "we" do is good and everything "the other side" does is bad.

I'm not saying only they support it, nor do I believe most groupings in the EU are "good". I'm only saying the ones currently working on overturning the parliament vote are the Conservatives, seeing how they're the ones trying to force a revote.