Looking over the "recipe" again, I notice one thing I failed to notice earlier; at no point have you formally defined the uncaused cause as God. That's a weak step, but if you actually want to use that argument to argue for monotheism (instead of merely the presence of an uncaused entity, nature unknown) then I think it's a necessary step. Some of the assumptions necessary to eliminate multiple uncaused causes are a bit weak, but I think that you have a very good argument that somewhere in the history of the universe there must be at least one uncaused cause of some sort.
No, I omitted that step for reasons discussed in the earlier thread: this gives too weak a "God" to be any interest to anyone, and is downright confusing.
The only way I can think to get back to some form of traditional theism is to add a premise saying that "every entity not of type G has a cause" (insert your favourite G) and then perhaps to pull the modal trick of claiming all the premises are possible...
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.