The political group data look like this:
Liberals 19%
Populists 11%
Moderates 21%
Libertarians 22%
Conservatives 27%
Populists are conservative socially and liberal economically. Libertarians are just the reverse: conservative economically and liberal socially. True moderates take middle-of-the-road views about many issues.
Because of the conflicting values of populists and libertarians, luring both into a centerist party is a nonstarter. The values of each are anathema to the other.
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Maybe there are more than five groups. Suppose there are at least two subgroups of libertarians: one being liberals who are stingy and another being conservatives who want the government to leave people alone? Or two subgroups of populists: one of conservatives who need a government handout and another of liberals who are also religious?The possible slicing and dicing of the electorate is almost limitless. In places like Italy and Israel, a separate political party exists for every distinct constellation of beliefs; thus governments are awkward coalitions which are often unstable and short-lived.