I guess I'm one of the very few barbarians here who support the idea of capital punishment. According to statistics at least half of people in Ukraine think the same - with numbers of supporters sometimes as high as 85%, depending on the poll.
It's worth mentioning that some people vote against it because they think that the criminal should suffer longer, and some even weirder people vote for it because they think that it's a kinder and easier way out. It muddles the matter further.
The only reasonable argument against capital punishment, in my opinion, is a danger of executing an innocent person. But there are various safety measures which can help to avoid that, one of them is a mandatory period of time (years and years, if need be) between the court decision and an actual execution, which can be used to check and recheck everything to be absolutely sure.