Is it time for beheadings?

While here in the U. S. we argue about which execution is more humane and painless, three Indonesian Islamic militants sentenced to death for their roles in the 2002 Bali nightclub bombings are demanding to be beheaded instead of the firing squad.

The men have refused all attempts to seek clemency on their behalf, extolling instead the virtue of their execution, where their blood would "become the light for the faithful ones and burning hell fire for the infidels and hypocrites".

Blood or no blood, infidels or not, my question is: Can these Bali convicts be on to something?

Is beheading more human and painless than -- say -- lethal injection or the electric chair?