Yep, faith and belief can be based on good evidence. For some reason we still don't understand why mathematics seemingly underlies the fabric of reality. The theoretical physicist Eugene Signed called it the 'unreasonable effectiveness of mathematics'. Nonetheless, physicists have good reason to hold the conviction that the behavior of matter and energy is ultimately intelligible, even if we don't understand the cause.
Nobody really knows what dark matter and dark energy are, and the search for supersymmetry has been largely fruitless, But researchers keep investigating because they have faith these mysteries are rationally intelligible.
500 years after Isaac Newton, we still don't really understand gravity at its most fundamental level. That's why we've been searching for decades for a quantum theory of gravity. That is based on a belief that physical behavior is ultimately intelligible, if not the ultimate cause.
100 years after the quantum mechanics framework was developed, we still don't really understand what quantum mechanics means. Thats is why there are decades-long ongoing debates about the Copenhagen interpretation, the Many Worlds hypothesis, and the hidden variables hypothesis. The search continues because we have faith that there are rationally intelligible explanations.
Einstein himself spent the last 30 years of his life fruitlessly searching for a grand unification theory, because he believed that at its core the explanation of physical reality would be elegant and rationally intelligible.
