Is This a Good Argument for God's Existence?

For a disjunction to be true, only one of the either or statements needs to be true. Atheists will demand that you have compelling evidence for the truth of the premises. Some people would say as long as the evidence is just sufficient to give you permission to believe the premses, that's enough for you to have a good argument and for your belief to be rational. I'm inclined to a somewhat stronger view, to say that the evidence should make the premises more plausible than their negations. So they don't ah need to be highly plausible, they just need to be moreausible than their opposites.