Of course you're wasting their time. Isn't their time so valuable, after all they're the state, your master, your boss with their gun to your head.
There job is to terrify you, present you with a nightmare scenario.
They're sadistic, lets just call them what they are, evil fucks. They might not know they're evil because they're making a very good living and are immersed in that environment, so they have never had the chance to stand back to look at what they are doing to wreck lives.
If it were up to me I'd come up with something creative because you can't just go into a jail cell for 4 months without at least asking the court for other options to keep you out.
We can't just passively resign ourselves to the gulag, you gotta do anything possible to make it clear that you'll never DWI again and if so you'll go into prison for however long they suggest without a fight. Then you want to pack your ass up and gtfo of that state, move to Oregon the most progressive of our states.