http://www.physorg.com/news75725492.html
Princeton University"s Adam Maloof posits that an eccentric weight of some large object such as a giant volcano would move towards the equator. This is incorrect. Such a movement would increase the instability of the entire planet and momentum would not be conserved.
The eccentric mass would instead move towards a Pole, North, or South.
You can demonstrate this yourself right now if you are wearing jewelry like a class ring. If you spin it at any attitude, the eccentric seal will move to the top and it will spin symetrically.
I would go looking for a large mass near one of the poles, not at the equator, maybe a big hunk of nickel/iron, eh?
"Symmetry will be served"