Even in Smith's time, the state was already a tool of the capitalist class and centralization was occuring. It wasn't what it looks like today, of course, but today isn't fundamentally different at its core. The US is capitalist today, just at a later stage.
Secondly, capitalists paying for social safety nets isn't socialism. If you want an actual dive on socialism built off of Adam Smith instead of Marx, a fun thought experiment, I recommend the article Adam Smith's Socialism.