Eh. Still not convinced of the whole "sense the coming of death"-schtick. Depends how they are doing it. Ominous feelings of danger by superhuman observation is okay. If it's precise pregognition of death it needs to get the hell out of scifi and into the fantasy realm. Sadly, current signs point to the latter...
I dunno, I feel like Trek already has laid the groundwork for this. The anomaly in "All Good Things" -- Q's whole challenge to Picard in that was getting him to open his mind to the possibility that events can resonate backwards in time, not just forwards. There's also Guinan's perceptual abilities across time and space and parallel timelines -- I don't see why a universe where that is believable couldn't also support a being that can sense impending death (though it would create some Troi-style obstacles for the writers).
His line in the trailer "My people were biologically determined for one purpose alone...to sense the coming of death" could easily refer to having a heightened sense of survival that makes them more aware than the average human when certain situations are dangerous.
It might have everything to do with gathering all information at hand and determining risk factors and might have nothing at all to do with a supernatural sixth sense.
That being said, I think this interpretation of the line is probably the correct one.