The food production level, however, is exponentially higher -- not a trivial factor.
The problem with the blue states (and it’s actually just giant blue cities that make these states blue) in a hypothetical republic breakup scenario is they don’t necessarily provide a viable industry or commodity whose wealth can sustain their demand. Short of wood/lumber, there is not a lot of valuable commodities there that could be exported to buy the food and energy needed to maintain the blue cities, which would quickly shrink.
I had to look up what a "blue state" is. That's not a common concept outside the US. Most countries have a politically diverse make-up multiples parties over a range.