From Judaism point of view, Jesus sacrifice is invalid and does not make any sense. It never made sense to me either. Jews do not believe that someone can pay out anyone sin, but only you are responsible for your own sin and inability to uphold the Laws.
We also need to look into the era, when Roman ruled the known world and their execution methods were extremely harsh, brutal, and painful. Idea that person should not suffer through execution is rather modern under influence of the French Revolution and Enlightened thinking. However, until that time for thousands of years, executions were extremely brutal. Modern era starting with a French Revolution needed more efficient way to dispose thousands of people, thus less painful methods were implemented. Guillotine in France between 1792-1795 executed around 35000 people. It would be much more difficult to end lives of so many people if government would have to break victims on wheels.