They aren't dissociative at all, at least not in the sense psychiatrists mean. Saying one thing while doing another is part and parcel of any totalitarian system. Lie until you've consolidated power and don't need to lie anymore.
So we do agree on that.
As for the rest of the specifics about Ohio, I'll defer to you on that since I simply don't live there. We don't get too many in NYC other than publicity seekers, which is fine as we have plenty of other racists here.
However:
They vote in lockstep with the GOP for the most part because politically they believe the republicans/tea party have similar goals. The Nazis oppose homesexuality, immigrants, minorities, civil rights, human rights, women's rights, etc, and they're fairly certain the GOP does too (mostly because they do. The local republicans are more fascist than libertarian.).
Many Republican/Tea Party people do not "oppose" homosexuality as a private practice. They simply do not approve of it receiving special treatment, particularly at the expense of religion, which it has. Many would be quite satisfied to have universal civil partnerships instead of government marriages.
Only false Republican/Tea Party people (like various conspiracy nuts) have any issues with immigrants. Disliking the flood of illegal immigrants disrupting the economy, and the corporate abuse of guest worker visas, is in no way identical to wanting to close the country to immigrants.
This is even more true with minorities in general. Indeed you might want to check which party has any minorities running for President this cycle, and which party just elected the first black woman to statewide office in Kentucky.
For civil rights and human rights, those apply to everyone, and it is not the Republicans trying to justify excluding Asians from colleges in California. Instead it is the Republicans/Tea Partiers standing up from them, insisting they have an equal chance to get in.
For women's rights, abortion was long a tool of eugenics through racial and class selection and remains one. Worse, it is tool for sex selection. When many Republican/Tea Party people oppose it they are doing so because they don't want to see women selected out as they have been in China.
As for "libertarians", whatever they might have been at one time, today they are a mix of libertines, conspiracy nuts, and anarchists, with the barest lip service connection to classical liberals. The only reason they appear to be fiscal conservatives is because they don't want any government with any budget at all. They are absolutely not Republicans, and latched on to the Tea Party Movement just as they latched on to the Occupy Wall Street Movement.
Finally, regarding your local GOP, while I might be inclined to make a pro forma objection on general principle, given Kasich's recent performances, I have to admit you may be correct.
The thing is, that leads into highlighting one of the critical differences between the Republican "establishment" and the "outsiders/Tea Partiers" - the outsiders feel the establishment is too cozy with the crony capitalism perpetrated by the current administration, and they want it ended. Tell some of them that the GOP is full of fascists and they will reply "Damn straight! We don't want to kick those danged commies out just to replace them with a bunch of worthless fascists!" So when you get to that element at least, you really need to treat the Republican Party and the Tea Party as two very different groups.
People using those identifiers may be different in Ohio, but that is what my experience has been with "typical" ones around the country via the internet.