I don't have to believe anything's inexplicable; in point of fact, I don't. That's not to say I think our puny little monkey brains are (presently) capable of understanding everything, but that's a completely different claim than that those things are inexplicable.
As for assertions, I'm not the party making one. You asserted that religious/spiritual folk "have to believe some phenomena are inexplicable". That's a universal claim, which can be refuted by any existential quantifier to the contrary. In simple predicate logic:
∀: All believers hold that some phenomena are inexplicable.
∃: I don't.
∴: Not all believers believe so.
As for specific examples, name any old thing you'd think a believer would hold as inexplicable. That. I believe it's explicable. Granted, I believe that because I believe the divine wants us to understand our world — to the extent we can anthropomorphize and attribute intent to it, of course. Indeed, it's one of my highest moral duties, according to my beliefs, to learn and understand as much as I possibly can. To do anything less with the incredible, indescribably precious gift of having a mind is to piss it away.So, net, in a lot of ways, we probably actually agree. I decry ignorance and superstition and the like pretty strongly, too. What I don't do is condescend, or paint with a brush broad enough to cover everyone in a class of humanity I seem not to have taken the time or effort to understand.