Maybe I missed something -- who has argued that logic is adequate to bring us to God? Or that human reason is not fallen and imperfect?
As for relate - that is what family involves. Relations. It is what exists between two people, and the God of the Bible is personal. He is not a principle to be comprehended or observed, but personal.
"Relationship" I have no problem with. "Relations" often has a, well, more specific referent! ;-) And "relate" as in "relate to" (as opposed to relating, say, cause and effect, or relating events as they transpired) just brings back too many echoes of "Hey, dude, ya know, I just can't, like, relate to that, ya know? I probably was just exposed to too many undergrads when the usage gained currency.
I don't recall anyone here even remotely suggesting that God is not personal.
And who argues that logic and reason are the same thing?
Bring that sucker out here!