If they are private contractors they are corporations, and you sue them as a corporation for…lots of money, and each officer individually. They have no authority over anyone, I just cannot comprehend how a state can give power to a private corporation to arrest you or draw a gun on you. How about giving such power to a Pizzeria place and pizza makers, also a corporation? The State cannot, because the state is also a corporation (I bet you didn’t know it, did you?). The city is a corporation. They are ALL CORPORATIONS, so sue them as it fits a corporation. Research the subject online. Also use manta.com and you will find out that all states, cities, USA, are incorporated, just like any regular business. Go to an attorney who sues corporations. He will be shocked that you have such knowledge and will be troubled. You will see.