Comment by vidarh
The father of universal healthcare by way of a state supported insurance system was Bismarck, who was far right by modern standards, and argued for it based on Christian morality, not socialism, though he was "accused" of being a "state socialist" over it, and embraced that label because it fit well with his struggle to limit the growing appeal of the actual socialists.
In European history, a lot of welfare reforms subsequently came down to Christian democrats (typically centre right to right by European standards) or cooperation between them and socialists and social democrats.
This just makes the US situation weirder - by the time socialists and trade unions gained much real power in Europe, universal healthcare was mostly already uncontroversial and settled or close to it as a result of the support of Christian groups on the right, with a couple of exceptions such as the UK, where the right wing rhetoric leading up to the NHS got pretty extreme.