You seem a bit obsessed with Rees Mogg mate. I have no idea what he will do, but I do doubt he would support any motion that will come from Labour (which won't be happening imminently). It's currently the Lib Dems/SNP who are pushing hardest for it. Even if he did support the vote it's not really within the control of Labour politicians, less so Labour supporters to be accountable for the actions of what some Tory MP's do.
There are sometimes example's of collusion that go on. There are examples of where left wing parties are involved in it. I am happy to provide numerous examples of this. However I don't think this motion of no confidence, that as yet hasn't arrived (and in all likelihood won't arrive for the foreseeable) which may get the backing of JRM is a particularly adept example of it.
On a final note if you are going to take a critical line of the left, for me the obvious critical line would be the one that sections of the left have treated JRM as some sort of fascistic figure. Or that his position around Brexit is akin to a fascistic position. For the most part it is intellectual nonsense. Maybe this makes me colluding with JRM, but I just see it as being open and honest about how I see an issue.