The idea of God always existing

[Neo-Scholastic]

Because my water-pik is calling I only have time for a short reply. You are essentially correct. You could say that everything comes out am abyss of infinite possibility, pregnant void, or similar idea without calling it god. The key concept is not what you call that condition, but how well it fits with reality as we live it on a day to day basis. For me the scientific method is very effective for understanding the physical universe. But strictly limiting inquiry to empirical verification of falsifiable hypothesis excludes from considerations all forms of subjective experience, our thoughts, feeling, sensations, how and why we assign meaning and significance to things, etc. In short, positing the existence of the divine expands the definition of reality beyond what is only physical. This allows room for phenomena that cannot be reduced to an algorithm. Sure it's a long tentative slog to go from Cause to "personal Lord and Savior" , but you have to start somewhere.