Fidel Castro was educated in a jesuit school, and so had a lot of influence of "social christian" ideology. Around his youth he also closelly aligned to Falangism, and even into his Communist rule, still had considrably close ties to Franco's Spain.
I've heard he was also a fan of the writings, thoughts, and speaking style of Mussolini.
Nixon came very close to getting a Federal health care system set up.
Although, when he was proposing this, it was as a reactive, triangulating measure, to preserve some private sector involvement, in the face of discussed and presumed Democratic alternatives that would have been more statist and more generous.
But yes, it would have been anathema to later Republicans.
To a degree it was and always has been, and still is, the cha-cha dance, you step in to the position your dance-partner/enemy just vacated, and vice versus, to keep up the right appearance but right amount of distance.
Nixon proposed federal health care coverage because he sensed the intelligentsia, unions, and Dems in Congress building up a groundswell for it. He proposed something to keep up with the joneses, but also to set the terms, before they went too far.
Senator Ted Kennedy, and others in the Democratic Caucus, overestimating their political strength, and blindly sailing into the shellacking that would be the 1972 McGovern campaign, refused to embrace Nixon's plan and get a deal done, holding out for something better.
Nixon won reelection but soon everybody got consumed with Watergate investigations, and maybe nobody wanted to hand their opponent a legislative 'win', even the Dems, even if they realized they were weaker than they thought.
The Dems came back strong in Congress in the '74 midterms but healthcare's moment had passed apparently, between the Watergate babies' greater interest in process reform, transparency, good government reforms, getting seen on televised hearing, and probably the health care industry having more time to research and get its ducks in a row to real lobby to minimize any reform, and for Union leaders and rank and file to probably figure out their actual members were OK and to say with regard to non-members who were uninsured, 'I'm alright jack!'