Go for it. It is just as constitutionally permissible for the religious left to be politically influential as the religious right. Although the unreligious left spent many years arguing that for religious people to be politically involved was a threat to the "separation between church and state," that was apparently just hot air. Or maybe the leftists who said that were really being serious, and now there could potentially be some conflict between the religious left and the unreligious left.
Just like there is conflict between the Religious Right and the Non-religious Right? Like the difference politically between EHarding and Mike Pence, although they are both clearly on the right.