In any demonstration, you have to make some unproven statement, taken as true. It could be “1+1 = 2” or “God exists”. So sciences are methodologies based on believes. Lot of religions use logic and reasons, based on science and philosophy, to deduce things from their core believes. This is theology.
So if both science and religions are based on believes, and could have the same methods, how to distinguish one of the other ? We could argue that science try to reduce believes as possible. Personally I’m not good enough in sciences to argue with religious people, and demonstrate that point. In trying to challenge my believes in scientific models, I have to stay tolerant with religious people (I’m not sure I would otherwise); which is a most productive approach. Furthermore, it helps to have a critical point on view on science (as you’ve said, and to taking it as a blind faith)
The old train will miss me … LITERALLY at last