My own take on why Jesus chose to die on the cross

I really feel uncomfortable with the phrase "through the cross Jesus won pardon for our sins" because it seems to show a tyrannical God whose wrath has to be appeased in such a violent way.
Rather I'd like to believe that the cross shows to us the extent to which God loves us.
With Jesus assuming the lowest of conditions a human being can ever reach, the shameful death on the cross, God shows us that there is no sin that is unpardonable, that everything and all time are included in God's big embrace.