No. In fact, it actually happens quite a bit.
I'll tell you that, being on a border community, our people are prepared to understand what is required. If a Seminole Indian comes from the far south of the United States and winds up at a border crossing in Canada, they probably won't be well versed in what is needed and what is required of them. If they were to provide their Seminole identification card, it would not be recognized by the Canada Border Services Agency as a document that recognizes them as an Indian.
For Mohawks born in the United States who may not be registered as Indians under the Indian Act, they will end up showing up and providing a piece of identification that is acceptable—against what they believe in, though—the reason being that they probably want to get into the country without problems.