I'm not making a normative claim about what your best strategy is to protect yourself from a police investigation, but rather a positive claim about ordinary people's attitudes towards the police, which are not (gesturing towards this thread) this.
The general attitude seems extremely positively correlated with income, and the average American isn’t particularly well off.
Thus the line from poor < working < middle < upper classes with satisfaction generally increasing with wealth.
But perhaps that just reflects the public/private split when it comes to quality of services