Israel, the nation state, came into being in 1948, with the explicit financial and military aid of the United States to do so. It has had American support since within hours of its founding.
"At the end of 1948, 53% of Israel's Jewish population was insured, about 80% of them by Clalit, with a few small health funds insuring the remainder. In the following years, Israel's healthcare system was expanded, and within a decade, about 90% were insured."
Universal healthcare became a thing in 1995, it seems.
To be fair here, what people often overlook by using Israel's current government as a reference point is that during the Kibbutz era Israel was decidedly left-wing. So I wouldn't necessarily attribute the presence of 90% or later 100% health care to US money.