[With just a few thousand trained troops.
With proper planning one to turn this country up side down.
If you ask how you need a better imagination.]
For the Chinese to be doing this clandestine, they would need the active participation of the various Cartels in Mexico running the trade.
The Cartels are in the difficult position of doing things that make them money without severely antagonizing the US and I doubt they would go along willingly. If the US found that the Cartels were aiding the Chinese in willingly bringing Chinese agents in mass into this country they would have to expect that the US response will be to tell the the Mexican Navy the 'exact' details of the entirety of their operations.
Within 4 hours all senior leadership in the Cartel(s) would be dead.