Hang on folks, you are being duped. The argument is completely spurious, it contains no correct physics at all because it does not actually solve any equations of motion. If you do solve the equations, you will find that tilted orbits are perfectly allowable for long periods of time, and the coriolis force produces no such effect. What the coriolis force does do is quite the opposite-- it causes the Moon to stay in its same plane (relative to the stars) as the Earth orbits the Sun. Other effects can cause perturbations as well, but you can be sure that if the coriolis effect changed the tilt, the Moon's orbit would not still be tilted from the Sun-Earth plane (and it is, and has been, for billions of years). Small problem there....
(Oh, and the reason the objects are mostly in the same plane going around the same way is the conservation of the angular momentum during the contraction and formation of the solar system. In contrast to the above theory, this explanation holds up perfectly well to actual calculations.)
And welcome to the forum Chineson, but please note there is a section (ATM) for "against the mainstream" idea.