It’s not Islam that’s the problem. Rather the breakup of the Ottoman Empire and the partition of India were decisions made by western governments, primarily the British. It was a classic colonial tactic to set the interests of various ethnic and religious groups against each other in order to maintain colonial domination. The British were experts at it.

They no longer had the capacity to maintain an empire after WW2 but they still wanted to maintain some level of economic domination over their former colonies. As such, they made sure to draw borders and empower certain ethnic groups in such a way that it would almost guarantee future conflict. The US inherited this strategy and has been deploying it ever since.