If you god interacts with the world, we can measure that interaction. Correct?
You see this is why I don't argue with religious people about the veracity of their beliefs.
Superficially this is a perfectly valid empirically sound statement, but then you consider the fact that we still have no idea how big the universe is or whether or not it is infinite or whether or not the laws that govern the known universe are themselves universal and ultimately most religious folk are happy for their god to exist in the unknown.This is why god of the gaps fails to be a useful argument in the face of faith.
There are always going to be gaps and there are always going to be people that choose to fill those gaps with 'the supernatural', the rabbit hole of scientific enquiry never bottoms out and even as it encroaches on territory once held by faith and religion, because the logic of faith is circular and has a powerful confirmation bias it never completely wins out..
Human beings are capable of and often defer to rational modes of thinking but are by no means inherently rational. Until you understand this you'll keep banging your head against that same brick wall.