How do you think crime works? Do you think criminals are like "Maybe I shouldn't commit a crime because I saw one extra cop car pass by every eight hours?"
https://justinward.medium.com/more-cops-dont-mean-less-crime-f80bffa0d28d
And what's your basis for saying crimes "spiked" and "skyrocketed"? A bunch of sensationalist news articles using figures reported by police, who have every incentive to manipulate said figure (and often do). See this recent article about police officers asking Shotspotter to fabricate data:
Police routinely manipulate and reclassify data for political purposes:
https://www.currentaffairs.org/2020/08/why-crime-isnt-the-question-and-police-arent-the-answer
If you look at actual meta-analysis of scientific literature going back to the 1960s on this exact question (one of the most studied issues in criminology), you'll see that literally hundreds of studies have found that police presence in a neighborhood has never been found to have more than a modest effect (at best).
On average, it has little to no effect, except in some studies that show problem-based policing and emphasis patrols have a small effect that is temporary.
