The point is not so much
that the US has better or worse infant mortality statistics than communist dictatorships, but rather that the stats are bad compared to other developed nations. The table I posted (and nicely cleaned up by SDG, thanks!) shows that the largest problems are in the black and native communities, in which the rates are down there with countries like Jamaica and Saudi Arabia.
For the richest, most powerful country in the world, that spends far more per capita on healthcare than any other country (about ten times as much per capita as Mexico, for example), this is not impressive.