People like you would have accepted Mongol rule lol
But Muslims didn’t. Muslims defeated and then converted Mongols.
Sit back down Qutuz of Birmingham. Big talk while living in the enemy's heartland.
The Muslims who defeated them did not convert them. The ones who did, had been conquered. Berke Khan of The Golden Horde in Europe had converted before the Mongols sacked Baghdad, let alone their defeats against any Muslim army. All the fantasized resistance that you propose ended up in piles of millions of skulls with their entire civilizations, knowledge, and industries lost and still waiting to be recovered. The same losses you still wail for. The only two who defeated them bided their time and began their resistance when they saw their chances favorable.
1) The Mamluk in Cairo attacked after Mongke's death which had forced Hulegu to return to Mongolia with the bulk of his army for the Kurultai, leaving only 10,000 behind. The Mongols never returned in full force, preoccupied by the civil war and the later fracturing of the Empire after Mongke.
2) The Delhi Sultanate absorbed major losses across what is today Pakistan from 1220 till 1292 without responding, including the butchering of Lahore. It also refused refuge to Jalaludin to avoid Mongol wrath which effectively ended the great Khwarizmian Empire that had acted just as "wisely" as you have advised. The Delhi Sultanate instead sued for peace till 1292 and used that time to build itself against the Mongols, especially under Sultan Balban who was obsessed by it. During the same time the Mongol Empire waned, starting from the civil war mentioned above, and broke off into smaller Khanates. It was when the Chagatai Khanate (the least powerful, the most fractured, and the poorest Khanate of the four) invaded in 1292 that the Delhi Sultanate correctly judged the power imbalance favorable and began its successful resistance that you glorify today. The Sultunate never fought the actual Mongol Empire except in point-defense, which it lost every time.
Justice is at the core of Islam. Not might! Might is temporary.
The Quran prohibited any fighting during the first 13 years against the Quresh's atrocities due to the power imbalance even though the Sahabah were rearing for it. Later it reduced the promise of success and the compulsion to fight from 1 Vs 10 to 1 Vs 2 in Surah Al-Anfal because "there was weakness in them", while the Prophet (SAW) was still there. Then it upheld the truce of Hudaibiyah because peace was more in need for the Muslims despite many Sahabah's insistence on fighting.
Books would serve you better than whatever fantasies you've conjured up to live through your cognitive dissonance. 'No David' would be a good start.