That system seems to FURTHER move away from being Christocentric. At least CE recognizes something significant occurred. BP is absurd. Why pick 1950? BKW? (Before the Korean War?) No-one is gonna want to translate all their dates. (In BP four hundred and fifty-eight, Columnus sailed the oceans great? The spirit of 174? The San Francisco 101ers? The Summer of 19?)
Sorry, BC and AD is stayes, but I won't complain if some rabbis wanna use BCE and and CE. Yeah, I will get irked when "Christian" biblical scholars use those terms, but I do like knowing who my enemies are. >:^)
BP dates are appropriate in the context of scientific investigations such as the investigation being discussed here. They're not appropriate for ordinary history such as those events you mentioned. All archaeologists have other Chronometric dating systems to use if they have no interest in Christian time frames and the calendar systems tracking those time frames. All anyone would have to do is use an alternative time system and if they chose translate it for the general public (years in the Christian calendar). One such alternate calendar is the Hebrew calendar (official in Israel). I would think most would find it obnoxious if someone were to take that calendar and suddenly claim it was not Jewish at all.
from Overview of Dating -"Many different calendar systems have been created around the world. They all have in common the fact that they have a starting point from which one can count forward and backward. That point can be in the past, the present, or the future. Scientists who use chronometric dating methods usually prefer to count years from the present. With this system, an event that occurred in 1000 B.C. would be written 2950 B.P. (or 2950 years "before the present"). By convention, 1950 A.D. is considered the present." http://anthro.palomar.edu/time/time_2.htm