You know, on the surface it certainly seems that way, but then God is definitely not something intuitive. Intuition is "knowledge" of the gnostic type, but does not necessarily lead to truth.
If God were something intuitive, we wouldn't need His revelation.
If God were something we can comprehend (by reason alone), than he wouldn't be God.
God is neither intuitive nor rational. Our faith in God defies reason because we believe in an eternal, omnipotent, omniscient, transcendental, unchanging, simple, trinitarian monad!, who is both God and man, Father, Son and Holy Spirit, One God, undivided!, incomprehensible, who is here and everywhere, without a beginning and without an end, the creator of everything and all, both visible and invisible, complete (perfect), uncircumscribed, etc, etc. etc. none of which is intuitive or something reason can grasp.
"Faith" founded on reason is naked rationalism. The Russian Orthodox Catechism says it this way about our ascent to God via apophatic (negative) statements (i.e. unimaginable, invisible, unlimited...etc. about God), with my emphases:
...including reason.
Intuition is not “Gnostic” but another way to perceive things. It’s the ability to sense or know immediately without reasoning. I used it as an example of non-rational perception, much like the Holy Spirit’s leading. That is non-rational but not irrational which is nonsensical.
Rom 8:16, The Spirit itself beareth witness with our spirit, that we are the children of God:” that is non-rational yet true. The same goes for “the peace of God that passes all understanding”.