By your own logic, the "majority" is going to be 1/3, which is self-defeating.

Incorrect, the actual definition is "Majority minority" https://en.wikipedia.org/wiki/Majority_minority

That just means that there is no majority.

The actual phrase is "Majority minority" https://en.wikipedia.org/wiki/Majority_minority

Then there's no minority either, so the word "minority" is not applicable. No matter how you look at it, the statement is absolutely ridiculous.

No.