However, I don't see what is so paranoid about being critical or skeptical of the police and the military.
I think skepticism becomes paranoia when you assume a task that has happened often before to suddenly have an ulterior motive, especially when there is little bases to assume any.
Sure the occupy crackdowns were brutal, but I don't think you need to worry some authoritarian military police conspiracy because of some training. Also with regards to police acting like military, the USA has SWAT members who basically receive military training to perform their job. Similarly in South Africa where violent crime is critically high, the local police generally are equipped like the military in combat gear. (They lack the training, but that's more corruption and incompetence.)
Also here is a positive thought. Perhaps if the US military spent more time training in urban areas they wouldn't destroy as much or cause as many civilian casualties when they invade another country again.