What sort of voter would be generally supportive of the death penalty but oppose corporal punishment both for their own children as well as more generally (though not necessarily supportive of banning spanking by law) and what kind of voter would have the opposite set of views of opposing capital punishment but supporting corporal punishment not just generally but for their own children?
Pro-DP/anti-corporal punishment voters might be certain kinds of Evangelicals or Mormons who believe in "loving" forms of parenting or otherwise highly educated professional class people who favour capital punishment due to fearing crime. Anti-DP/pro-corporal punishment voters probably include a fair number of black voters who see capital punishment and the justice system as racist and prone to false convictions.
Those sound like good guesses.
