If anything, those sound, at most like they are inspired by Ethical Humanism. "Surrender to Reason" is like an admission that they're NOT faith-based. Pretty much by definition, it takes the suspension of reason to maintain faith.
If I had to bet, I'd put my money on the fact that those lyrics pretty explicitly describe a pagan/agnostic set of ethics.
I always saw that as a contradiction. Reason is often associated with the Age of Enlightenment, and is emphasizing the rational world and is to some degree "anti religion". But letting angels and grace lead the way, is the exact opposite of surrendering to reason.
Well the debate over whether reason and believing in a greater power are mutually exclusive is definitely a heated one, and many have different opinions on it. And to a point it becomes semantics - some have different definition of "reason" and "faith" from others it seems. Maybe Myung meant something different by those words? Anyways not meaning to open up this debate, as this isn't the right sub-forum for it
They're certainly a spiritual band and they've declared it several times, Petrucci said in an interview he was a Catholic and all, but IMHO they mainly use religious imagery more to convey emotions than anything else.
Also, because most of the time those lyrics seem to be inspired partly by their life's experiences they obviously have some connections to their faiths and beliefs, whether these lyrics belong to the religious or the philosophical sphere or anything else.
Someone said it already, but I think the best thing about their lyrics is that they tend to describe general, universal experiences and feelings without imposing any sort of view, with the obvious issue/non-issue that they do it through words taken from their own culture and beliefs (which can/cannot resonate).
That said, I don't expect TA to be any different from the other albums as far as the amount of spiritual imagery is concerned, even though Evangeline seems pretty much set on the religious type of character.