One of your major difficulties is that you have been steeped in the concept of an illogical God for so long.
Ok....
NIV Job 36:22-26
22. "God is exalted in his power. Who is a teacher like him?
23. Who has prescribed his ways for him, or said to him, `You have done wrong'?
24. Remember to extol his work, which men have praised in song.
25. All mankind has seen it; men gaze on it from afar.
26. How great is God--beyond our understanding! The number of his years is past finding out.
NIV Isaiah 55:8-9
8. "For my thoughts are not your thoughts, neither are your ways my ways," declares the LORD.
9. "As the heavens are higher than the earth, so are my ways higher than your ways and my thoughts than your thoughts.
It we who are the illogical ones. Our reasoning is what's flawed which is why it doesn't make sense without God revealing it to us, and He does that in His Word. Read it after asking God to help you make sense of it and you'll be in for a big surprise, if you're sincere.