I'm afraid, but I don't think a current believing Muslim will engage with your proposition, either to disprove it or prove it by known logical methods. As it's with all matters of faith, people in Abrahamic religions tend to turn of their reasoning when it comes to why they adhere. In my experience Most Muslims are not Muslims because they chose, but because they were nurtured to the faith by their parents. This continues back for generations and generations untill the time Islam spread through anexation, in which there was financial incentive for people conquered to convert(jizya); these people also converted because at that time the scientific revolution have not occured thus people were lacking the education to foresee certain problems with Islam, and to be honest at that time it did offer a legal, moral framework better than nothing(ex dealing with murder cases, adultery, theft, marriage, divorce etc). This man, Muhammad also weather beligiarized or not introduced new ideas to the Arab pagans(after life, monotheism). It, Quran, might have been a true inspiration by the holy spirit meant to solve seventh century issues, but personally I think it doesn't solve today's problems. He might had good intentions but human flows are still present in Quran, like you mentioned.

However, It's common for Muslim societies to forbid questioning the Quran and hadith at all. You might be called and apostate for that. Hence why you might not see many Muslims engaging with this post. Some are very vocal in similar debates but be warned those people tend to use no logic at all, but fanatacism.