That's some strange logic. How do you figure? Do you have a link to a scripture which verifies this? Or, is it something you've either heard, or concluded on your own?
If you don't believe in the Bible, then you don't believe in The God as taught by the Catholic Church.
The Catholic Church adds just as much leaven into their teaching/beliefs as other Christian and Jewish religions. You don't need to be affiliated with either to believe in God, the Son, or the Holy Spirit. Everything you need is in the unleavened Word of God. IMO, the leavened teachings of organized religions often confuse the truth of God's word.
You do touch on something in your statement, whether you realized it or not:
"- believe in the Bible -".
But these are written so that you may believe that Jesus is the Christ, the Son of God, and that by believing you may have life in his name.
Isaiah 46:10 "I make known the end from the beginning, from ancient times, what is still to come."
We've seen this fulfilled throughout the ages, and we're seeing it being fulfilled today. One must logically conclude God is real. Only a Divine being can make known our future.
There is much more most don't know about. Including prophecies fulfilled exactly, in timing and detail, that's almost impossible to believe. And as you delve into these, learning more about them, it becomes very obvious a Divine hand is as work.
CCC 35 Man's faculties make him capable of coming to a knowledge of the existence of a personal God. But for man to be able to enter into real intimacy with him, God willed both to reveal himself to man and to give him the grace of being able to welcome this revelation in faith. The proofs of God's existence, however, can predispose one to faith and help one to see that faith is not opposed to reason.
CCC 159 Faith and science: "Though faith is above reason, there can never be any real discrepancy between faith and reason. Since the same God who reveals mysteries and infuses faith has bestowed the light of reason on the human mind, God cannot deny himself, nor can truth ever contradict truth." "Consequently, methodical research in all branches of knowledge, provided it is carried out in a truly scientific manner and does not override moral laws, can never conflict with the faith, because the things of the world and the things of faith derive from the same God. The humble and persevering investigator of the secrets of nature is being led, as it were, by the hand of God in spite of himself, for it is God, the conserver of all things, who made them what they are."