I too doubt the military capabilities of China's armed forces. I highly doubt they could easily take Taiwan. It would certainly be a bloody battle. Let's face the fact that the PLAN hasn't really proven itself as blue sea navy yet. They have ships and aircraft carriers, but there is a lot of doubt if they have the ability to project power like the USN. However, I think they could successfully take Taiwan as long as there was no intervention from the US. And, I wonder if Trump would fuck around with that right now...
Let's remember that the PLAN has more war ships than the USN (albeit less tonnage), and most of their ships are fairly advanced. Now, at this point, because of the PLAN's lack of experience, I would say the USN could take them out, but would likely suffer some significant casualties.