It looks like Turner was started on 2u of insulin, and then it was raised another 1u a week later? First, 2u is a large starting dose for a cat (starting dose is .25u per kg of
ideal weight), so unless he is a very large Maine Coon type cat, then the starting dose was too big to begin with. Second, Lantus should be raised in .25u-.5u increments based off the daily nadir (lowest number of the cycle), and not raised in 1u increments. I think that 3u is probably way too much insulin for him--most cats only end up needing somewhere around 1-1.5u once the dry food has been removed.
I would check out some of the
stickies in the Lantus forum when you get a chance, or once you get your spreadsheet up and running, you can post there for advice on the dose. When Bandit was first diagnosed back in 2009, his vet at the time was great with encouraging home testing, getting him on a low carb, canned commercial diet, and getting us on the right track with insulin, but her dosing advice was WAY off and very dangerous. She wasn't dosing him according to the recommended protocols, and instead was using her own protocol that she developed for her
dogs. Because she didn't want to work with me using the recommended protocol, I ended up leaving and finding a new vet who would. She wasn't familiar with them either, but she was at least willing to read and learn about them and help work throught them with me.
I've attached an article for you to print out and bring to your vet regarding the treatment of cats with Lantus--it's very possible that your vet just hasn't seen it yet.