When discussing whether Muslims can successfully integrate into American culture, it is important to consider the political component of Islamic teachings known as Sharia Law.
For Islam, Sharia Law is supposed to be the supreme law of the land, overriding all else. But in the United States the Constitution is considered Supreme. So if there is a conflict between the two legal systems, this creates what might be considered aa a political logical contradiction.
If two legal systems which contradict each other are accepted as compatible, then one can deduce any result (A contradiction implies any conclusion). Because of this it is imperative to resolve whether there is a contradiction or not.
note: a referee has claimed that this question does not show research effort. That is false. This is a version of a well-researched and documented question. One source, www.politicalislam.com claims that there is a contradiction in values. Other sources claim there is no contradiction in values.