There is NO ideological inconsistency within the GOP among those who actually pull the strings. They know exactly what they are doing and are extremely good at it.
If we want to talk about their vast constituency:
1. Equal reverence for Christianity and capitalism.
2. Anti-abortion/pro-death penalty
3. No real idea what socialism is, and complete blindness to how it benefits them
... that's enough, I could go on and on and on here.
Fair enough on #1. There's a reasonable argument for #2 (Baby innocent, murderer guilty).
What do you mean by #3? One can be ignorant of socialism and still be consistent. Or are you referring to the "Socialism=Bad, Social security/Medicare=Good" Republicans?
Precisely the latter. Those peeps are very commonplace within the GOP.