Considering Torgue was fast friends with Tina iirc, both love explosives, and Torgue was fired from his company in the DLC, I could see the idea working out (and I doubt the management at the Torgueless Torgue would keep making his explosive weapons - nor could without his input). Maybe call it... the T&T Cartel.
Well if nothing else I think that you got a good start with the name there. It has a certain ring to it, especially with the explosives angle to it.
I think that sort of mix would surely be good. I am sure if this happens in future. Then there are lot of possibilities. And lot of things to learn from as well. It seems like such thing is in fact possible if it works out.