The Good, The Bad, and the Not So Ugly
The good news: the door gasket part number in the link, 314077 was available down the street at the local parts house.
The bad news: They brought out the part in the factory Maytag bag and it's quite a bit different from what's on the dryer. In fact I don't think it would work at all.
The Not So Ugly: The parts store looked up the original part number, and its replacement, but said that neither are available. They did say it's possible someone might have old stock. The original part number is 311015; the replacement is 312231. So far I haven't been able to locate the part on the Internet, though. The Not So Ugly part is that the door gasket on the dryer isn't torn and will probably last a few more years.