There are plenty of issues where "precise predictions" are available, yet the polarization is as bad as ever, such as drugs, birth control, gun control and taxes. So no, facts are no match for ideology.
What kind of contextually-relevant "precise predictions" are there for e.g. gun control? Or taxes?
The prediction expert Philip Tetlock writes in New York Times on the power of precise predictions to counter political polarization. Note the similarity to Robin Hanson's futarchy idea.