Ju jitsu is japanese in origin (almost exclusively).
The japanese do not teach the completion of moves to non japanese.
Gracie ju jitsu is based upon the discovery by a brazilian who studied ju jitsu of what they thought were better ways to do ju jitsu called small circle ju jitsu, what they did not know was the japanese have always done ju jitsu that way, they just do not teach outsiders it.
Judo is non lethal, sport ju jitsu so that persons may practice ju jitsu against each other without death of students, and achieve recognition in olympics.
Gracie ju jitsu has been taught at times to special forces. And is a reasonable way of defending yourself. Whether using deadly last ditch techniques or not.
Ju jitsu is mostly deadly techniques, and includes all those found just in judo, because judo was designed to be all ju jitsu techniques that can safely be done to not kill students in practice sparing.
There do exist gracie schools by members of the gracie family in usa and brazil, last I heard. It was their grandfather who first developed small circle ju jitsu. I did a web search and found a web site that claims to be a usa school:
http://www.gracie.com/
Hope that helps.