None of what you say is inherent in a public service.

The DMV often gets singled out as an inefficient system that is emblematic of the failure of public option, but I assure you as someone who's had to deal with a privatized version, you're not getting better service and in fact the fees are much more expensive without recourse or oversight.

The answer to a bad system is a good system. Adding a middleman who is only interested in extracting as much money as possible is rarely the improvement the consultants would have you believe.