Thanks for posting this, though KCET is Los Angeles' left leaning PBS station. This seemed a pretty reportorial account of aspects of the conflict. What would be more interesting would be an account of how the area in question was "governed" by those who took it first from the native Indians. The native Indians did not appreciate Mexican/Spanish rule. The Mexicans did not have the ability to administer the area nor to maintain order. Geronimo, jailed by the Mexican government, earned part of his reputation "dissing" Mexican authority. Mexico couldn't develop a decent government then and it can't do so now within Mexico's current borders.
They barely held on and if it weren't for traders from the then US states and CA they would have gone under.
The trip from Mexico to Santa Fe was dangerous and seldom attempted because Comanches were terrible enemies to have. Once they obtained horses(which they did not have in the initial invasion of their territory) they became a huge force to be reckoned with. The texas rangers were responsible for fighting and securing the area from Comanches and had a hell of a time with it, even with the advent of revolving pistols to help them after colt invented the Patterson(the Walker was more substantial but still showed a tendency to blow up now and them).
Mexico never really "held" much of this territory they are claiming is "still" theirs. If they want it, let them come and get it!