You just articulated The West's fundamental misunderstanding of Islam.
Islam is a religion. Islam is a political system. Islam is a life system. There can be no religion of Islam without the Islamic state and without the Islamic life system (Sharia Law). They are inseparable. Political Islam must be eradicated. Unfortunately you can't eliminate it without eliminating the religion as well. You can beat them back to where they're not a significant threat but as long as the religion of Islam exists, political Islam will always return and try to take over the world.
The central tenant of the religion of Islam is the central tenant of political Islam. Kill or convert everyone.