The real fallacy, I think, is the premise that the Chinese want to take over the U.S. at all. They (their leadership) are not idealogues. They want power and money, yes, but they don't buy Marxism any more than I do. A Chinese attack on the U.S. is unlikely, unless instigated by a lunatic military fringe. Now Taiwan......
The best of the majority of the Chinese military weaponry fielded to date is probably not as good as those U.S. third generation weapons we've already deemed obsolete and have long ago discarded. This case was proven in Iraq and Bosnia. The only new W.S. the Chinese have worth mentioning besides the new-yet-to-be-deployed Dong-Fang 41 ICBM is the Russian-built Shkval V-11 torpedo-missile, and as far as we now know, the Chinese have yet to take possession of any subs having the capacity to launch these fish while submerged. Personally speaking, I'm glad America doesn't depend upon mobile missile launchers as our means of nuclear deterrence because having these things hot and mobile near populated areas is asking for disaster - either from accident (unintentional fuel detonation from wear/exposure or mishandling) or by attack (from agressors).