That's not what happened at all. The Mutants had nothing to do with that, in fact they didn't even know what happened, only that every mutant was raptured onto the Ark by the Apocalypse twins and the Scarlet Witch. When in reality all they did was ensure the destruction of the earth and blamed it's destruction on the Avengers while also planning the assassination of the X-Council.
All Havok wanted to do was go back in time and save the earth.