I really hate this example. I don't deny that folks have just "This is the end, I don't know, here's God," but it seriously doesn't apply to Newton. Why?
Because Newton never really *CARED* about math. He was essentially socially-bullied into publishing Principia and Optics, and his great passion was alchemy. His ambitions were essentially position. He wanted to be (and eventually was), treasurer. He didn't stop pushing boundaries because he just "Here's God!". He did "Here's God's place", because he didn't WANT to keep doing that stuff. He WANTED to be treasurer. He WANTED to turn lead into gold. He jealously guarded what he discovered/invented/created/figured out/whatever-you-want-to-call-it, and he was incredibly bitter toward people who challenged him.
But he didn't WANT that. He hated people challenging him all the time. He HATED people questioning every little thing he ever said. He didn't quit because he had profound faith (his faith was frankly closer to Jefferson's, or at the least more Deistic, than most people really get)... he used God as an excuse because he really didn't *CARE* about math and the scientific method as we have it.