"It is not the role of this Court to investigate the political, moral, ethical, religious or personal views of those on each side of this issue. ... We are limited in deciding only whether the method defined by the Legislature and signed into law by the Executive, survives constitutional review," ...
The lawyers for the two men convicted say they will ask for a rehearing or will appeal to the U.S. Supreme Court.
I never know quite what to make of this kind of challenge. My assumption is that the claims are not based on a feeling that the particular death penalty method at issue is bad, but another one might be OK. Rather, it's just an attempt to get all methods declared unconstitutional. This seems a bit disingenuous, but I suppose it's a reasonable thing to do if you're on death row or if you think the death penalty should be abolished.
On the specific legal issue, I don't see how lethal injection could be considered either "cruel" or "unusual." It's certainly not cruel in comparison to the alternatives (electrocution, anyone?). And it's not unusual either.
As a result, I'm not convinced this is a productive approach for death penalty opponents. If they were to win, it would seem like they won on a technicality, and could create quite a backlash. I think their best bet is to try to undermine support for the death penalty among the populace more generally.