Back in the 1980s when I was part of a Mopar club, we decided it would be best to allow AMCs to participate in the club, since Chrysler had absorbed AMC. We wanted to be inclusive before that was a popular word, the more the better and all that.
Technically the Jeep Gladiator is a modern Stellantis product, and I'm not sure if Mopar even has much relevance anymore in terms of modern product, but I'd say sure, it should be eligible.