1. No human being will be forced to believe in the True Faith of Islam as it is clearly stated in Quran: No compulsion in religion. 2:256.
2. There is no question at all of killing a non Muslim for not converting to Islam.
3. Jizyah is a tax paid by Kitabi non Muslims for the services they get from the Muslims government as they don't pay Zakat nor Khums unlike Muslim citizens. Non Kitabi non Muslims enjoy all services from the Muslim government and pay a tax to the government which is not Jizyah but an amount determined by the Muslim ruler if the government needs, and if the government does not need funds, can enjoy all the services free of charge.
4. Shia rulers in many parts of India never forced any Hindu or Buddhist or any non Muslim to convert to Islam, nor did they harmed them over centuries of their governments in Hyderabad, Bijapur, Awadh etc.
Wassalam.