We already have states and cities/towns. The solution is to relocate a lot of currently federal power to a local/state level, and to share it among communities and individuals rather than just government/corporate entities. This allows both liberal and conservative regions to go about their way of life in relative peace.

If the wrong person in one office is legitimately such a huge problem, that suggests the office should not be so powerful. In your post you characterize the left as people who want more government, but they also tend to oppose a lot of uses of government power that conservatives often support.

Of course this is all easier said than done, but it's also easier than trying to actually divide up the country.