Wrong. They are completely incompatible. Islam is a system of governance based completely on "allah" (Mohammads) laws. Laws made by man are inferior and flawed in Islams eyes, and conflict with Koran and hadith based Islamic Sharia law.
The only thing that can be seen as "compatible" with Islam is the basic concept of totalitarianism, where the state dictates everything you do, controls every aspect of your life. But since all those laws would be man made, it is incompatible with Islamic totalitarianism.
So, are you saying they’re incompatible,
in contrast to the person you replied to that stated they were incompatible?