So if it's clear that a person is in possession of illegally obtained property, but it's a mystery exactly how they got it so law enforcement can't indict them for a crime, they should just get to keep it?
Edit: all of this is off-topic, as the bank can be proven the owner and the police would not keep the money.
Asset forfeiture is, and always has been, subject to judicial oversight.
There are, in fact, well established and relatively simple procedures for contesting civil forfeiture. There is a fair argument to be made that they sometimes don't work as well as they should but when you say that there is "NO judicial oversight" at all you are just just flat out wrong. You need to update your worldview if you want it to conform to reality.