Strongest military? They aren't realy even able to deal effectively with Taiwan, as they would get their butts kicked by superior technology. Yes they would win, but the first several weeks would be very bloody for China's military.
Remember what happened to Israel's enemies in the 6 days war? Something like that.
And China would be a smoldering ruin of atomic strikes, and they are not stupid enough to think they could take out the US, or even Russia or England for that matter.
And if they topple the US, where will their factories they sell all their plastic toys? Or what would be the value of their $800 billion in USA Trseaury debt?
What would Japan, Russia, Europe and everyone else do if China attacked a major power without provocation?
This is an Ohio class US attack submarine. It only takes one to send China back to a rice-farming second world power.
If memory serves me correctly, each of those 24 missiles carries some 10 warheads with post-MIRV/MARV technology, that can basically drop each warhead exactly wherever the sub comander wishes, months after a conflict.