I would expect that there isn’t anything that you would write home about.

What do you mean? One relatively unique thing is that the US Constitution protects anyone physically on US soil, not just citizens. There is very little that treats physically present US citizens different from non-citizens beyond voting and certain welfare benefits.

That said, the police here can absolutely enforce the law unfairly. But that's not really a problem with the law, but instead the individual police departments.

As an American, I think there's a lot we can do better to be more fair, but I also think our system of laws is quite fair in general. We just need to get our police in line and change the "us vs them" mentality in our military and policing. I'd really like it if we would stop bombing people we don't like and instead strive to open trade routes.