When I end my turn in the street where there are monsters and a patrol marker, do I encounter the monsters first or perform the sneak check to avoid being arrested. Do I get to choose?
The FAQ covers this. You make your evade check first, and then monsters.
Q: At the end of your Movement Phase, do you fight monsters before making the Evade check against Martial Law to see if you are arrested or after?
A: After the Evade check against Martial Law.