My recollection is that the Supremes outlawed the death penalty for this in a case out of Louisiana a few years ago. So this is just political pandering at this point.
Found it. Kennedy v. Lousiana, 554 US 507 (2008). No dead body, no death penalty to oversimplify the ruling.
I suspect the current Scotus would have no problem overturning its 2008 decision.