The Minnesota state tax module was available this morning, finally, so I downloaded it. It turns out that it was available, but not quite ready: The module claims that form M1MT (the Minnesota alternative minimum tax form) wasn't finalized yet. I spoke to the folks at the Minnesota Department of Revenue, and they said it had been final for a while now. Armed with that answer, I went back to Intuit, and was told that the updated Minnesota module would be available next Monday. Arrrrgh.
I've got a rather substantial federal refund coming, and can't file it until they finish Minnesota...