The problem with your position is that it reduces God to your human concepts when He is past finding out. Have you had an encounter with Him that has left you speechless for hours as you are impacted by His awesome unfathomable 'otherness' ???
Consciousness is loudness. From the standpoint of experience, it is an ongoing stream of sensations more or less distinct ("loud and clear"). The cessation of those sensations, therefore, is unconsciousness and/or death.
Sensations also define
fellowship. Fellowship between two parties can only be defined as a mutual exchange of sensations more or less distinct (loud and clear). I don't have to know the specifics of your encounter with God to subsume it under this general classification. After all, if the experience were insufficiently distinct ("loud and clear") for apprehension, you wouldn't even have noticed it.
The broader the spectrum of sensations, the more intimate the fellowship. Since God created us for fellowship (1Cor 1:9; Phi 2:1; 3:10; 1Jn 1:3, 6), it must be His desire to maximize the intimacy by availing of the full spectrum. Indeed He has little choice, because the mind will otherwise fill in the omitted details with its own idolatrous portraits of Him. This includes not only distinct ("loud and clear") sensations of love, joy, and peace, and the trembling at the distinct ("loud and clear") apprehension of His "unfathomable otherness" as you call it, but also, for example, the sensation of eating and drinking of Him:
"Jesus took bread, and when he had given thanks, he broke it and gave it to his disciples, saying, “Take and eat; this is my body.”
Not His earthly protoplasm - it was the divine Word being consumed here - the divine Body. Again, the Trinity is the Father seated on a throne, the Son at His right hand, and the Holy Wind/Breath emanating as the divine Word from their faces, mouths, and nostrils as Smoke, Wind, Fire, Light, etc.
Would you want a girlfriend never to be seen, heard, touched, smelled, etc? Matter is the basis of all intimacy. God's design for all of us, if we mature enough, is the same privileges awarded to Moses:
"The Lord spoke to Moses face to face, as a man speaks with his friend".
Hence Jesus lamented of the Jews:
"Ye have never heard His voice, nor seen His shape, nor does His Word dwell in you" ( Jn 5:37).