Is there any evidence that Newton would not have made the same discoveries if he had held different religious beliefs?
Please do take your "evidence" and stuff it allmendream. Such demands are thoroughly tiresome to me by now.
You miss the point entirely even to ask such a question.
But to answer your question directly: There is no such evidence. All the evidence we have is what Newton actually left. And that includes both his theory of motion/mechanics, and his ideas about how the motion and mechanics fit into "the larger picture."
Okay??? Can you GRASP that point???