You're right, I "intuit" it because it's unifying and seems to cover all bases, and therefore quite a comfortable position to be in. I also "intuit" it because of the vast indescribable complexity of this world, and it's not just the equations but the thrill, humility and beauty of it all is too much that I have to accept that it doesn't just happen.
But in my earlier point, I wanted to show that a belief in a 'Great Programmer' is not incompatible with a belief in science. I am free to be interested in those two things you mentioned, but I can also attribute the wonders to a god. In a way this is like enjoying an unfinished picture/ story, but knowing how the thread begins and ends: everything comes from him, and everything returns to him. It's like sitting in the privileged seat to witness a slice of this drama. And for me, the least I can do is to acknowledge the great auteur behind it.