What if The Moors had won at the Battle of Tours?

Being a Proud Spaniard and Moor, I have always wondered: "What if the Invading Muslim forces had won at the Battle of Tours Against the French." Would Europe be open to a new, hostile, force and if so, would the small feudal nations of Europe be too weak to stop a Muslim occupation?

What would be the ramifications of this new timeline? Would there ever be a HRE? And, when the time comes, could we see an Arab "New World" with Muslim Mosques in the place of Christian Monasteries? How would Civil Rights be affected in our modern day world, and would we see new faces in place of our old heroes, like Sir Isaac Newton, Michelangelo, and Charlemagne?

Note that this if fairly unlikely as Martel's army of veteran pike men would have been very difficult for Al-Ghafiqi's army of skirmishers and light cavalry to defeat. For Al-Ghafiqi to reach Tours he would have to pass a disciplined army whose size was unknown to him.

Let us say for a moment that he manages through sheer strategic genius to defeat and crush the army of Martel and reaches Tours. In all likelihood the Arabs would not have remained there for long. There are those who claim that the army of Al-Ghafiqi was simply a large raiding force looking for loot and slaves to bring back to Al-Andalus. Whether that is true or not is besides the point, as the Arab empire was well overextended at this point and would not have been able to remain north of the Pyrenees much longer. They were facing serious political disunity and rebellion back home, figures like Pelagius of Asturias had already shown that the Umayyads were not invincible.

I honestly think a defeat at Tours would have shortened the time Islam existed in western Europe. If they tried to expand their empire it would have spread them thin and allowed the Austrians to expand at their expense and would have encouraged the western European states to unify against them.

The reconquest of Iberia may have been far more important to the Europeans as they where now aware of the threat Al-Andalus presented. The earlier parts of the Reconquista would have been more successful as the Arabs may have been more politically divided and would have been weaker from their failed conquest, assuming they actually made a serious attempt at holding what would become France.

Sir Isaac Newton, Michelangelo, and Charlemagne would never have been born as the butterfly effect would make it quasi-impossible.