As far as I know, current US precedent has a long line of cases justifying "reasonable police mistakes" as par for the course, so that's really the most you can hope for.

Here's some examples:

https://www.nycourts.gov/ctapps/Decisions/2015/Apr15/50opn15...

https://www.supremecourt.gov/opinions/14pdf/13-604_ec8f.pdf

And this is how it usually plays out outside the courtroom:

https://blog.simplejustice.us/2014/12/17/but-for-video-a-mis...