That cat will behave far different than a Mountain Kitty.. Those cats DO hunt Homo Erectus in certain parts of the world dont see why geo location would be any different.. .... Look at these skull comparisons.
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What are you basing your opinions on? There is actually an excellent book done by a former Arizona biologist, David E, Brown, called "Borderland Jaguars." I can't recommend it (or any of his other books on Southwest wildlife) enough. It is the definitive word on the subject.
Jaguars have been present in the Southwest at low densities since time immemorial. The morphology of the Jaguar in the Southwest and Northern Mexico is very different from those that live in the richer environments of Central and South America. We know this from physical measurements and historical records. It's like comparing a Saskatchewan whitetail to an Arizona whitetail. They have to survive on rodents, rabbits, and small deer. They aren't growing to 300 pounds. In fact, they resemble mountain lions found in the same locales in stature (Warner Glen thought he was chasing a "big tom" when he treed and photographed his first jaguar).
Behaviorally, they are more akin to mountain lions than the "big cats." They are known for docility and evasion. William Vincent Wells stated that "the jaguar is naturally a coward, and is seldom seen except in unfrequented places" talking about his experiences in Honduras.
It has been a while since I read the book, but I can't recall Brown finding any records of human attacks or predation in the historical record in the Southwest. I think the "just wait til one grabs a kid!" is not particularly useful hysterics, considering the multitude of other reasons that a kid can die (drowning in pools in Phoenix, car accidents, rattlesnakes, mauled by a black bear, rabies from bats, spider bites, and so on and so on).
Anyways, this is all kinda moot. There isn't a drive for any sort of re-introduction. The jaguar will continue to be a sporadic visitor to the Southwest. Most people-even houndsmen-will never see one. Protect them, protect the habitat, and maybe we can sustain a natural population of a dozen or two wandering males across the Southwest.