Well to be honest, the more you seek "intellectual logic" the more it is clear.
You spent hell lot of time trying to decipher why we are alive ,but you did not try to decipher why you want to know that?
You cannot disprove specific Islamic (especially Islam)
"Mathaheebs" (ways or disciplines) .
Why? Simply because The Koran was written in poetic style contrast to the bible which was written in more like story-telling style.
And in the languages you cannot disprove poetry, because poetry has no specific meaning.
Seek knowledge.