It applies to all parts of government. Didn't get the building permit for your kids horse barn? Sue the planning commission members individually. Animal control writes you a citation for Puddles not being on a leash? Unleash the lawyers. Health department gave your wine bar a bad rating? Sue the inspector personally.
The way to fix policing isn't by making the rest of government worse. Reform unions for employees of the people. Create independent civilian oversight boards with the teeth to suspend and terminate. Invest more in mental health and drug rehabilitation services. Invest in educational resources to teach communities how to deal with law enforcement.
Edit to add: People are confusing civil liability with criminal liability. If you are found guilty of a crime, then you can be sued.