What's wrong with polarized political parties? The Dem coalition up until the 1980s didn't make any sense for public policy, and the trade of a lot of conservative southern Dems for a smaller number of liberal and moderate northern Republicans is very good for coherence of policy, if bad for "polarization."
The major problem we have is that our parties now operate like a parliamentary system but our institutions (notably, the senate) haven't evolved to reflect that. A smaller problem is how local elections get tainted by association with the federal parties which distorts the process so no Republican can get elected to local government in D.C. and no Dem in Texas.
This precisely. This "problem" would not be recognized as such in parliamentarian systems. The government and opposition, after all, are expected to paint two very different pictures. And to be honest, I don't quite understand why we should want our politicians to have to "compromise" to get anything done. Let the majority govern, and vote them out at the next election if you don't like the result of their policies.