Yes, yes...the fact remains, Rap, that the USA did what larger, more powerful nations always do to militarily weaker neighbors when they see a chance to get some valuable land. It took that land by a variety of covert and overt methods. One of those methods is to send in a substantial number of one's own people as immigrants, then in awhile when there are enough of them there, they stage a coup, a local government takeover, an "independence" movement...and if they succeed, then the area they took from the weaker nation is soon brought directly into the USA and it becomes a new state (or states) of the USA. Another method is to offer the neighboring country an insultingly low amount of money to give away some of their valuable land. When they don't agree to that, some "incident" is arranged or some other pretext is used to declare war and take that area of land by force. It's easily done. The Japanese did stuff like that to China and Korea over a lengthy period of time (until they lost it all at the end of WWII). The USA did stuff like that to Mexico...repeatedly...until all the really desirable lands north of the Mexican central desert areas had been annexed by the USA. And why did the USA do this? For the same reason great powers always do....they *could* do it. They had the strength to do it.

Hence the famous statement of Benito Juarez: "Poor Mexico. So far from God, and so near the United States!"