Interaction does not equal incompetence.
Well, I did give you three options - incompetence, capriciousness, or nonomnipotence. There's no other option for God interacting with the universe after its creation. A perfect God has no need to interact with the universe after creation, because he's gotten it right the first time and taken everything into account. A God that can't do that is no God at all.
What would God have changed His mind for?
You tell me. If he meant to do it one way all along, why would he have to interact along the way?
People mess up all the time, but I wouldn't call God 'powerless,' I'd call Him patient and intimately acquainted with the past, present, and future.
It's precisely his aquaintance with the future which neccessitates one of the three conclusions about God if he's interacting post-creation.
The only basis of my view is contained within the Bible.
The Bible, too, is wider than your view of it. The people whose beliefs you disparage? They support them from the Bible just like you. Sometimes with the very same words.
Now, you can question the integrity of the Scriptures all you want, but if you want to know the basis for my "view," it comes directly from His Word.
Yeah? So do theirs.