The revisionist history around Eisenhower is pretty astounding. The only reason he kept taxes high was because he was a deficit hawk which was the conservative orthodoxy at the time as opposed to supply side. Truthfully I don't think he had strong enough beliefs on anything other then foreign policy to actively switch parties and while I can see him being critical of both W and Trump I think he would still be a Republican today.
In a way, however, Eisenhower was a Conservative in the One Nation Insitutionalist sense. No massive changes. Keep the nation together.
Those guys are long long gone.