This behavior vindicates the behavior of the Taliban themselves. They were/are famous for shaving off heads of people who actually shaved their beards. This convent school is doing the opposite. Also proves the point that at the end of the day, every form of government is dictatorial, its just the election process that is different.
No, there is a difference. In your country open expression of one's Islamic beliefs is accepted since it is an Islamic state. However, that does not hold true for other religions or even minorities within Islam (Ahmedis).
India is not a religious state and so private institutions can have their own rules for or against religious expression just as long as they are uniformly applied to all religions.