I think it depends on how much crime was prevented by police, either through action (i.e. arresting someone) or by threat of action (i.e. police might show up).
Statistically, the chances the police in Minneapolis were going to catch someone who committed a crime against you are low. Using the 2011-2013 data from the FBI's crime report [1] (not cherry picked, it was the first available I could find, would love more up to date data), about 36% of murders were cleared. Property crimes are far worse, about 13%. So for murder, there is a 1 in 3 chance you got caught. For property crimes, roughly 1 in 8.
That's not a huge rate of getting criminals off the street. I don't know how criminals perceive the risk/benefit of those odds, and whether the drop will have a substantial impact.
My wild ass guess is that it won't shift the crime rate by an order of magnitude. I would be surprised if it doubled. I would expect the murder rate to stay nearly constant, and for property crimes to increase 30-50%. Broadly speaking, I would expect the number of people committing crimes to stay close to the same (maybe a slight increase), but the number of crimes per criminal to go up. There's still a finite limit to the number of houses you can rob in a day, though. Your chances of getting caught before were 1 in 8, even if there is no police, it only has a few percent to drop before we start hitting the bottom in the form of the percentage of burglars shot by homeowners.