I could agree with your point if he had not shown any sort of abilities with the Force previously in the film but he takes out a squadron of Stormtroopers without being able to see. He can clearly already use it so what exactly is he putting faith in at the end? He's been using the Force the whole movie otherwise how does a blind man dodge a blaster shot?
Luke trusting the Force in ANH to make the shot when he has no experience using it is a perfect example of putting faith into something. When you already know something for a fact it is not faith. Him pulling the switch when he has never done so before would be faith.
I've seen movies where blind people do crazy stuff and no Force required. That's the point of his character here. It's about faith. Figuratively and literally (lol) blind faith. As mentioned, to those characters the Force may or may not be real. That's the set up of the OT and here in R1.
If the Force is so blatantly real and obvious, then why doesn't Baze fully believe?
"THe Force saved me."
"I saved you!"
That's their whole banter through the movie. One character is perhaps skeptical, and the other has total devotion. A devotion which is put to the test at the end. Was it the Force? Was it blind luck?
Hell even those very themes are in the OT, between Han and Obi-Wan.
"I call it luck."
"In my experience, there's no such thing a story luck."
And as also mentioned, if it didn't work for you, fine, but you may have missed the point of the characters and scene.