There are Muslim reformers on both the left and the right of American politics and both sides use the language of liberalism to make their points and appeal to wider American society.
Compare someone like Zuhdi Jasser to, say, Reza Aslan. Seemingly very different personalities on opposite ends of the political spectrum. Jasser is a Republican stooge and Aslan is a Democratic, slightly more educated one.
But look closer and you will find that they are aligned on many issues relating to Islam. They both oppose “theocracy” or the governmental implementation of sharia anywhere in the world. They both believe freedom is the ultimate value and what makes America so great is its championing of freedom. They both consider Islamic conservatism a threat to freedom.They both speak of the value of separation of church and state.They both believe that American Muslims need to “get with the times” and “ease up” on those aspects of Islam that hinder a thoroughgoing embrace of and participation in all things “American.” And of course they both reject mainstream Islamic scholarly authority. And the list goes on.
To be sure, the Muslim community is more of a fan of Aslan because he has spoken out in the media against “Islamophobia” whereas Jasser defends “Islamophobia” and has accrued a small fortune from getting handouts from zionist and anti-Muslim organizations. Despite those differences, their overarching views on the religion are more similar than you might otherwise expect. The fact that they are on opposite ends of the political spectrum in context of American politics should not obscure that similarity.
Jasser and Aslan are just two examples but you get the idea. Different sides of the same tarnished old coin.