The point is, you can define "liberal" to the stage where Reagan, Nixon, and even Goldwater were 'liberals", just as Fox news insists that ALL the other media outlets are liberal.
Remember the tax rebates of 2008 and 2009? It's estimated that individual consumer spending drives about 68-70% of all economic investment in the USA - in fact, the 2014 estimate for that is exactly 70.0%. Just about everyone in economic circles accepts this number, maybe with a few minor quibbles. That means a neutral (not conservative, not liberal, not supply side, not demand driven tax rebate would have been about 70% to individual consumers). Both the Bush and Obama year tax rebates were about 32-33% individual consumer and 68-67% business breaks, ergo, the "liberal" Obama tax rebate was weighted about 2 to 1 towards the ultra conservative end of supply side economics. Here's one of very few areas where there is a clear, unbiased, objective definition of where the line between left and right is, and by that test, the Obama administration is extremely conservative, as is damned near everybody elected these days.
As much as I like treating the whole left v. right model as terribly over-simplified and using at least a dual axis model, and as much as I can respect your arguement about autoritarianism, the position that Eisenhower looks like a (modern) Democrat is simply factual. The Republicans may have shifted more towards an interventionist model in foreign affairs, or supported big government spending more than they once did, but that's not the biggest change - the Republicans haven't failed by drifting towards the Democrats on a few key issues, and only need to reform themselves merely by getting back to their "small government" roots. The real difference is between a party that is now 99% for whatever the MIC stakeholders want and a party that is only about 55% for the same thing. Until there are Republicans who want to cut MIC related spending and not just "social" spending to reign in big government, there is no meaningful distinction between a fiscal conservative and a neocon or a tea-partyist. Hell, until the Republicans get a single candidate that even admits the objective fact that cutting ALL of what they themselves define as social spending includes cutting the VA budget too, the idea of a populist Republican remains an oxymoron on the level of Nice, Sweet, Wholesome, Axe-wielding, Coked-up, Nazi, Mansonite Xenomorph. Not that I'm saying Republicans are monsters, just that their policies nowdays have contradictions that are ultimately at the very far ends of ANY normal or same spectrum, and leave them saying things that are literally impossibly self contradictory with every position they take.