Quran is telling what happened and that is all.<quoted text>
The Quran give the Moon splitting miracle just half a sentence, the hadiths just two or three sentences and the best of them just say it was half hidden behind a mountain.
In other words there's no reason to believe it ever happened.
Why should it waste its time in "proving" that it really happened. It happened in front of people who gave "eye witness" account.
What else evidence is needed?
If you want to "duplicate" that split yourself, then you try to do it.
For us it was an act of God and that is all that is needed.
But for those who have curiosity, let them know that it is not a "Scientific impossibility".
You do not have even a basic idea how these Scriptual matters are discussed.