The reality is that few states are really red or blue. Most are some shade of purple, so you can't say that the reds are here and blue states are there. Furthermore, the blue states are in much better shape financially than the red states.
Republicans talk about being in favour of small government and balanced budgets, but the reality is that the Democrats are much better with the budgets, and reducing the size of government. The size of government went down under Carter, Clinton and Obama, and up under Reagan and W increased dramatically. W presided over the largest increase in the size of government since Roosevelt in the Great Depression.
As a fiscal conservative, I believe in balanced budgets and decreasing the size of government, but you don't do it by over regulating abortion, or who goes into and out of the women's washroom.
In terms of balancing the budget, Republicans are good at spending money, but they put it all on the credit card. Democrats at least fund their programs with taxes. Conservatives call the Democrats the party of "tax and spend". At least they tax BEFORE they spend and don't depend on magical thinking that the deficit will disappear if they cut taxes.
No, I don't think you can break the country apart and separate the disparate groups. But I seriously believe that a house divided against itself cannot stand, and the US is very divided. Not all ideas that the other party has are bad. That goes both ways. If you can't learn to compromise and get along, things will get worse.