I accept it is wildly held belief that the Quran itself is considered a miracle attributed to Mohammed, although I have trouble viewing it as such because it seems to lack a supernatural element. It is held to be a word from God or Allah if you will and contains no untruths or discrepancy... Did Mohammed not claim when asked if he would perform a miracle as proof to pagan unbelievers that he was simply a messenger?

Say: "Glory to my Lord! Am I aught but a man,- a messenger?"
Qur'an 17:93

Was splitting the moon attributed to Mohammed in the Quran itself? As I understand the Hadith are not of divine nature as per the Quran, and there are thousands to go through some of which are more reliable and authentic than others. You chose out of the hadiths, I imagine you have a criteria to work to, about what is correct. It seems to me that by accepting hadiths about miracles attributed to Mohammed go against what Mohammed claimed about himself. How many of these Hadith had Mohammed ever read for himself to know what was said about him?

I don't know that you have many miracles of Jesus in the Quran, the Bible obviously has a great many, except the clay birds, which could never be attributed to Jesus as it lacked provenance and is to be found in a gnostic "the infant gospel of Thomas" I believe it is. It's strange that it's in the Quran because as miracles go it has no lesson to teach and I would think by its nature raises problems for muslims.

It's like this, you have your Holy Book and your religion and I have mine, they differ on certain points and yet the one thing and for me the most important is they have the same One True God at their core. You know God as Allah I know as YHWH.. One and the same. If you do not believe we worship the same God then we really do not have any else to talk about. I see God has decided how we shall understand Him, our path is chosen for us. Everything else is window dressing.

Peace to you.