Sounds like a great opportunity for the US government to inform the people on what's the actual truth. You say Americans don't believe their government anymore? I wonder why...
Do you think the truth is, like, inherently more compelling than lies? If Americans don't believe their government anymore, how is their government supposed to use China's lies to highlight the truth?
Do you prefer Americans to be ignorant about certain topics, or to be informed even if that comes at the cost of reduced approval for the government?