They don't need to. They can undermine the West economically and politically.
The US has been a much more violent imperial power but America's wars don't even scratch the surface of what it has done overseas through economic might and covert action.
US imperialism has been a blight to the world, outright killing millions. Modern China did nothing on that scale.
> ...but America's wars don't even scratch the surface of what it has done overseas through economic might and covert action.
"What IT has done overseas" refers to the US.
But as for China, the Great Leap Forward is considered the largest man-made famine in history, causing somewhere between 15 and 55 million deaths. The Cultural Revolution resulted in the destruction of irreplicable artifacts and historical sites.
Like the US, China has been involved in sowing discord and destruction in other countries. What the US did in Cambodia was an absolute travesty. But China was Pol Pot's primary backer, having provided around $1 billion in economic and military aid to the Khmer Rouge. So it's not like China was an idle witness to what happened in Indochina last century.
We can argue all day about the greater and lesser of two evils but my point remains: powerful countries can cause significant harm to the world without invading other countries.
The US is many things, but it’s still way more aligned with European, Canadian, Australian etc goals than China ever will be.