BCE or before the common era would be a better title for our current years because AD refers to after death. The AD reference is entirely Christian based, while the world is not Christian based. Religion has been removed from many facets of life and it should be common standard to refer to years as, before common era, in this day and age.
No, BCE should not be used instead of BC, because BC has been working just fine for more than two thousand years. The only reason to switch to BCE would be a religious affront to the many Christians who believe that BC carries religious significance. There is no reason to change to BCE, except to offend Christians.