Nah, if handed a "you become East Germany, but also all homeless people and immigrants are exterminated on the spot" button, the median voter would press it 75% of the time, later convincing themselves they didn't, and the ~40th percentile voter would smash it 1000 times out of 1000 with no regrets.
You don't get less crime in a police state. The police are ALWAYS corrupt. They become the engine of worse crime than ever happened before.
When it comes to crime, the average person demands fully legalized corruption in all its wonderful forms, no enforcement of white-collar or cybercrime (except for "scammers"), anarchy for anyone at the wheel of a private vehicle, and Communist Romania-level totalitarianism against "criminals."
"Criminals" being "vagrants, cyclists, blacks wearing anything less than a $10,000 tailored suit and with a BMI outside the 21–24 range, all Indian, Arab and Latino immigrants, and anyone attempting to change the built environment in any way at all."
The Tyranny of the Bored Suburbanites