Joe Public generally takes the path of least resistance. If you can "be the solution" and demonstrate that the Patriots are the danger to law and order, much of the population will fall behind the occupiers glad their families are safe and life can go on as normal.
Wait in your safe zone for the population to come to you however and chances are when they come they will be fired up and armed by those same Patriots.
Thing is, if there is a strong popular religious presence, that approach will fail, unless you coopt the religion.
Due to board rules, I can't cite the various more recent European and middleeastern examples most obvious, but I will point to Finland and Poland in the late 19th and early 20th centuries, and Usbekistan, Kazakistan, etc, under the Tsars. In all these cases, attempts to take control were fought by religious zealots, and when the conquerer government tried to suppress the religions which opposed them on religious grounds, it lead to bloody rebellions. Alexi finally allowed local religious praxis, and things settled down.
If the locals have a faith based reason for their government, no foreign one will do. That is when you get the most violent opposition. (Think Jews vs Babylonians, for example.)