As long as Republican voters care more about abortion and gay marriage (and I guess transpeople using the bathroom now), they will not find economic solutions.
These are really fundamental differences, particularly in the area of taxes (and that’s true not just for Sweden and Spain, but most European countries). In Europe, there is an expansive welfare state with lots of benefits for the middle class, but the middle class are also the ones that pay for it, through high payroll and sales taxes. In the US, replacing sales taxes with a 20% VAT (the OECD average) would raise an extra $700 billion according to CBO estimates. Enough to pay for socialized health care and education. But nobody on the left is proposing that. Every proposal focuses on raising taxes on corporations and the rich to pay for middle class benefits.
The people here aren't stupid. Brownback's approval was in the mid 20's by the time he left. His policies are deeply unpopular. But, they keep voting for the party that originally pushed such disastrous policies, and is now trying to push them through again, despite popular opposition. I honestly don't understand it.
Perhaps they really do think guns are more important than the health of their community. Though even that makes no sense because state level Democrats are as pro-gun as the Republicans, and national level Democrats are zero threat.
I have no idea why you bundle up schools, roads, and social programs into "liberal sentiment". Guns may be loved, but they're not going to educate their children. And for many of the people in my rural district, what's putting food on the tables is the subsidized food programs and other aid offered. No arms manufacturing jobs and few resource extraction jobs here.
The political system makes it pretty easy to ignore the liberal coastal areas. Republicans benefit enormously from the unevenness of the Senate, House seat allocations, and the Electoral College. And then in the states they control, they put their finger on the scale via gerrymandering. Democrats can ignore the coasts too because who else are they going to vote for?
Though the greatest irony of all is that those rural and poor voters in the flyover states are also ignored in terms of their real needs. Their party tosses them cultural red meat regularly, but defunds the things they need: schools, roads, and various safety net programs which are often the only thing keeping the rural poor afloat.