The correct way to approach them is not to antagonize them in ways that would get you burnt alive with a pointy stake up your ass in 1515 but to find common ground.

ROFL, are you serious? The correct way to approach them is through bruteforce. Maul them down if they attack you. Call your friends and start organizing to defend your city and your streets. This is what we did in my city and 10 years after they are still respecting the lines we drew back then. They are sick pussies that enjoy humiliating you, that enjoy gang raping your girls etc. They are SICK fucks with zero muscle mass and zero honour. 1 of you is equal to 2-3 of them. What you do is to take their younger brothers, force feed them bacon, take their younger sisters rip off their burqas, go to their homes and intimidate and insult their fathers in their OWN homes, let them know who fucking owns those streets and if there are ANY fucking issues at all, then escalate the level of violence.
Always call the police when there are conflicts happening. Let the police know immidiately that if they do not come now, then you will be forced to defend yourself. This way the police is informed and many times they will come to your aid.

What common ground do you think there is to find between us and the muslims? If we see them on the streets, they are provoking us and we teach them a lesson about Allah, their useless fucking god.