Occasionally the cartel and Texas guard do exchange fire.
Occasionally the cartel and Texas guard do exchange fire.
This isn’t something the government hopes doesn’t happen: it’s something they actively work hard at everyday to ensure doesn’t happen.
A thousand man force is a battalion. The cartels have no real armor and no air support. No heavy weapons. No training.
The US Army fields 31 brigades. A brigade is 5 battalions.
For every cartel member in your theoretical force, there are ~149 trained, armed, active duty service members in deployable condition for combat roles.
That doesn't include artillery, sustainment, the US Airforce or the US Navy. I am also not including guard teams which are another 27 brigades.
Your theoretical cartel force would also have to go through the Texas State Guard (1,700 people) and US Border Patrol.