Unfortunately the court system is such that it would collapse under the load if everyone actually exercised their right to a trial which heavily incentivizes plea deals

That is a different problem. In this case it should be clear that the prosecutors have messed up and won't admit it, maybe to save their carriers. They are going after someone innocent because it is the easy target while the real criminal is at large.

Partially. The prosecutors and DAs are motivated by conviction rates. The delays in the court system are a bludgeon to encourage that end. Just like identity theft in itself, no-one is motivated to fix the system but the ones being fucked by it, who are the least able to do so.