Muslims are over-writing US Laws with Shariah law?

They aren't "passing" laws into effect (which is the joke with this whole thing). The only way the laws of the Muslims can be used-- is as a cultural influence. Take the Anti-Gay movement as an example of how the Bible would be used.

The Anti-Gay Christians presented verses of Hebrew law to the lawmakers, demonstrating in this manner that being gay was an abomination to the Christian and Hebrew God. -- this common occurrence is known as submitting cultural influence to the court.

Angelina Jolie Visiting with Syrian Refugees. Her report of the experience was much different than Carson on his return