You do get due process. If the police take your property, you file a notice with them that it is your property. They either give it back or file a civil suit against the property. That civil suit will have a trial, which is the due process.
The due process doesn't have to be first, it just has to happen, and it has to be binding. (i.e. they can't just keep you or your property if they lose the trial)
Well, that's not really supposed to happen either.