I think, based on my understanding of Christianity, a Christian would simply say that god has the power to override your free will, but simply chooses not to, and as such god is still omnipotent in that he still can do all logically possible things.

But there are still lots of problems with the tri-omni stuff, a very obvious one, in the context of this conversation, being 'is god incapable or unwilling to give people that don't accept Jesus a pleasant afterlife?'