That is definitely true, another thing that is different with Christianity and Judaism compared to Islam is that there is no marriage with the religion and state, politics is seperate.
Matthew 22:21 ("render to Caesar..") does so much heavy lifting for Christians who just want to fit in with the laws/society they find themselves in. Islam has had no such luck...
That is a new testament thing, the The Noahide laws states that laws should be established, but the difference is that Islam is primary a total legal/societal contract all encompassing