The Sons of Honor (Restares, Amaram and probably Gavilar) want to bring back the Church by starting the True Desolation, hoping the Heralds will also return. The new Skybreakers, led by Nin, wanted to prevent the desolation by killing radiants, but their plans may have changed now that it has already come. We don't know for sure what the Diagram thinks about the radiants, except that it says that their oaths can't be stoped and they should look for them, so it can be guessed that they see the radiants as an obstacle, but maybe it is just because they were using a truthless. The ghostbloods don't seem to be against radiants, but we know nothing about their goals.
EDIT: damnation autocorrection set to portuguese.