In the US, government spending accounts for ~40% of GDP. It is difficult to say what the ratio is for China because I don't know how to reconcile their state owned businesses with a western public-private model. But Wikipedia's list claims that their direct spending is 24% of GDP [0].

The opinions of free market capitalists aren't in the driver's seat of the US economy. Since the 70s the US has been transitioning to some sort of mixed model.

[0] https://en.wikipedia.org/wiki/Government_spending