I'm just pointing out that your problem is with unit tests, not with Mockito. I think unit tests are invaluable on large projects, so I find Mockito to be an incredibly valuable tool. I'm also not arguing against integration testing, just that unit testing is not the time to worry about your prod environment.
Why should your tools having to spin up a database in 3 seconds conflate local dev testing and your prod environment? Not advocating a 8 database cluster with hot failover on your laptop.. just a simple database.