Laurie,
When I look at the TUSC I'm looking at Nellist, Williamson & Galloway, not at what faction within the Left they follow, indeed, as long as the membership of the Coalition actually has knowledge of the 1st International and strands that emerged out of that, I'm happy, i.e., the Left is a large playing ground.

Now, there are multiple Left groups out there, a few have united under an umbrella's, the strange thing is, the only faction that actually represent blue collar workers is rejected by the others for not embracing the latest fads, them latest fads Finkelstein denounces, and, that was only by looking at the Identity stuff,never mind the Transgender crap.

As you have noted, the TUSC is actually keen to cooperate and opposes austerity, opposes cuts and opposes war, it also opposes progressive liberalism, a great shame the other alleged Left groups don't.

By the way, I'm helping out doing phone banking, I've not joined any faction as its factionalism, particularly within the Labour Party that has really pissed me off.