Even better than bringing all corporate taxes down to the lowest rate; force tax havens to bring the lowest rate up to something reasonable. A global economy demands global rule of law. Then, yes, market forces can be used to direct corporate citizenship (and therefore employment+tax revenue) to where it is needed (assuming sufficiently far-sighted governance to realize the global equivalent of Ohio needing more federal assistance than California, and also robustness to regulatory capture).

Your race to the bottom would only ensure that governments eventually cede all power to multinational corporations. Then, we're back to feudalism, only global this time.