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You've mentioned this five times now, and you've been right each time, but they're just not understanding what you're saying of course. The plane can take off, for all the reasons stated already, but when it does take off, the wheels will be moving x mph faster than the conveyer belt, where x=the plane's velocity relative to the ground/air/whatever.

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The wheels will only move as fast as the force spinning them. In this case the conveyor belt. Remember they are independent of the movement of the plane. The plane can move and the wheels can stay still. The wheels can move and the plane can stay still. Both can move independently at the same time (as in this case).