No, we really shouldn't.
That's the part that makes us human.
Stubborn insistence that life is sacred and should not be taken as part of judicial process is also unreasonable and illogical.
Stubborn insistence that the judicial process should not result in the government murdering innocents is unreasonable and illogical...? *snort*
Also, to prevent any confusion, that was meant to read: "We can, and should, expect the law to be so, however." I don't expect any single human to be hyper-rational. I expect the collection of humans we call 'society' and 'government' to always aspire to this, however - an independent, unemotional judicial process is absolutely key to a just, free society.
So you would deny a grieving individual closure on a tragic part of their lives? Maybe it does not bring back loved ones but i'm pretty sure that seeing the execution brings a little peace to the aggrieved, specially when the crime it's particularly heinous. This is in a large part an emotional issue not just logical.
Yes, I most definitely would deny them that. They can see a psychiatrist if necessary. Under your scenario, what can somebody who was innocent do once they are executed just because somebody was too emotional to handle rational justice?
The courts should be able to prove beyond reasonable doubt that a person it's guilty before executing the death penalty. There are criminals out there that are definitively guilty beyond doubt, they gloat of their "achievements" and have a complete disregard for life.
I get your point, the system it's not perfect but it's still viable in a lot of cases.