Sounds right. Is it that simple?
Consider whether all knowledge is of the same kind or not. tame thinks it isn't when he says people believe with rational evidence. That seems right. I shudder to think this reason thingy to be so totalitarian.
Faith is belief without proof. Faith is not "knowledge." Most believers bolster their faith with a reasoning process, but at the very bottom, there is faith, and only faith.
If a "scientific" proof is possible, if a reasoned analysis based on unimpeachable observation can conclude with proof that your religion is correct, then your religion is not faith-based.
It's a definition thing. Change the words to suit your own preferences.