No it doesn't. That just means you assimilated properly into the society.
It's VERY relevant, especially if they persecuted others for not being Muslim. Islam is more than just a religion, it's an entire ideology for rules of almost every stretch of life, and being Muslim means that someone from another country who is Muslim should be considered closer to you than someone from the same land as you who is a Kafir. This has been the case with most Muslim rulers throughout history, including the Mughals (even apostate Akbar preferred to surround himself with fellow Muslims of different ethnicities).
Irrelevant, most of Hindustan isn't part of IVC where as most of Pakistan is. It also started in southern Pakistan.
East Pakistan never had a claim to IVC, only the West. East Pakistan was never really part of Pakistan anyway, it was more of a glorified colony.
Pakistan is a nation for Muslims of South Asia who believe that Muslims are different enough to the rest of South Asia to deserve their own homeland. Musharraf and Jinnah both fall into this category and are therefore both Pakistani. Anyone else who falls into this category is also Pakistani (as well as anyone born within the geographical boundaries of Pakistan).
Of course I hate Hindustan, however, I don't hate all Hindustanis. You are not a monolith, some of you are good and others are bad.
We can have peace as soon as all of Kashmir is independent from Hindustan and Hindustan ceases it's aggression against Pakistan as well as Muslims in general. Until then, the goal is to fight until one of us is destroyed.
China is certainly more capable than Hindustan, currently anyway.