During the war with the British, Turkish government secretly smuggled weapons to pro-Turkish rebels in Gwadar, resulting in the uprising, during which the Mughal troops were kicked out. Since the Turkish army was very strong and modernized, the Majlis had no choice but to silently accept the loss.
Desperate conditions of the low castes were a hot topic in debates across India. Krishna Menon, a famous Hindu writer and the creator of modern Indian Critical Realism genre, drew attention to this issue in his novels.
The movement of the Untouchables and other low castes managed to make some changes in the legislation, with the Majlis granting them the right to vote and implementing some basic affirmative action programs. Still, local governments often ignored the Majlis' edicts, and the system of bonded labour for low castes was not abolished.
The Majlis feared that Turkey might be unsatisfied with only taking Gwadar, since it was massing armies on the Turkish-Mughal border.
The Mughal Secret Service devised a project code-named "the Sarama Plan". Few things are known about that plan, which involved agents in the governments of Arabia and Germany, but it resulted in a world war, with Turkey being pitted against Arabia and Germany.
This had major consequences around the world. Even traditionally isolationist Confederate States of America entered the war, using it as an excuse to annex all French holdings on the continent.*
While the whole world was at war, the Indians - well, at least, those who could afford it - could rest and enjoy their sophisticated culture.
Varanasi announced a bid to hold the first Olympic games around the world. 20 years later, the warring countries finally agreed on a temporary truce on so that the Olympics could take place.
The stress of war caused a socialist revolution in Russia. It, however, failed to spread to other countries except China.**
Amsterdam was quickly overrun by the German troops. The Mughal governor of Namibia decided to get into the game after the collapse of Dutch authority in South Africa.
The People's Republic of China decided to intervene into inner affairs of Mughalistan, sending guerillas - most of them actually Khmer - into Bengal. They distributed Little Red Books and formed guerilla formations of untouchables, minor tribes and landless peasants.
The Indian Army, with its new rifles, had no problem putting down the uprisings.
Finally, Chairman Mao decided that he can't commit many troops to support the Bengali Uprisings, and so he promised to stop sponsoring them if India reveals the secret of its new rifles. "Political power, after all", stated Mao, "grows out of the barrel of a gun". The Majlis, after some debate, accepted his proposal.***
The world in 1962. As you can see, the Turkish threat pretty much no longer exists.
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* And yes, that's Mali in Central America. They got a city though Congress and then started to conquer the surrounding cities.
** Note that everyone is in Capitalism. Another case for buffing Totalitarianism and Egalitarianism.
*** If you focus your attention at the scoreboard, which is visible though the interface, you'll discover the existence of Airstrip One. The Indian Majlis had generously provided asylum to Emmanuel Goldstein.