Usually in WOD/VTM you have three power trees that your clan/blood passes to you, in OWOD you could later learn almost any power if you could find a way to learn it, like a blood oath given to the tremere to gain lower powered magic, but I think they removed that to a large degree in NWOD.
If Rebirth is following a more OWOD then we got the claws at the first pip of our more combative tree, the invisibility at the first pip of our stealthy powers, and whatever is next from the first pip of our charming/conversation powers. The visions is something else, its not nescessarily from the bloodline, considering a Nos had similar visions recently.
We didnt copy the Nos invisibility power exactly, we just expressed an ability that was similar to theirs, and yeah, they wouldn't like it if another clan suddenly started to do one of the things that they had up until that point used exclusively, It would be like tossing out a few fireballs, and expecting the Tremere to be fine with it.
Or being really stuck up, the ventrue would be pissed because thats their thing, lol