Republicans, is this pretty objective? Are these good categorizations for Republican factions?
It's a good attempt. Some of the descriptions are not how people would describe themselves (ex. I don't think Eisenhower would choose to call himself "corporate"). I think there also needs to be a place for people who are conservative in the sense of traditionalist, but not movement conservatives, who focus on small business and localism, and social conservatism without much sectarian overtones - "Main Street Right", perhaps. There's some overlap with the Old Right, but these are people whose views are less strident than the descritpion suggests, and may be inheritors of Burke as much as Jefferson.
The thing to consider is, these are strands held in common as often as they are factions, with the greatest number drawing on more than one and not identifying with any one exclusively.
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