To illustrate what I'm trying to say, consider the two polarizing issues of abortion and capital punishment. The standard right-of-center view in the US - if you asked almost any Republican - is to be pro-life when it comes to individuals not killing fetuses and pro-death when it comes to the State killing grown adults. This is not only inconsistent in its logical application of whether anyone has a right to kill anyone, but also wildly inconsistent with the right wing's antipathy toward state power over the individual. Meanwhile, the other party in this country is anti-death-penalty by the state and pro-choice for the individual, while preferring state power over individual autonomy in most other cases.
Now who's holding wildly different, inconsistent political stances on polarizing questions? Probably the 70% or so of Americans who hew to either the standard liberal or conservative platforms, without considering their internal contradictions.