Tell that to Davino Watson, US citizen, held by ICE (immigration "police") for 3 years by mistake, gets literally zero compensation:

http://www.npr.org/2017/08/01/540903038/u-s-citizen-held-by-...

The issue I have with this is that our legal system is adversarial (by design) and as such the police have no incentive to either help you or keep your best interests in mind.

The government (as a whole) has also shown a disconcerting lack of technology prowess.

Where in the history of the US Legal system has it given me any reason to have "faith" in it?

The US Legal system is rife with abuse, corruption, and unethical actions, there is zero reason anyone should have faith in it

"The system" seems to have handled this pretty poorly so far. Why do you suspect their competence will increase (or, if you prefer to frame it differently, their malevolence will decrease)?