No, Jesus would not!
As for the Old Testament these "laws" are not God's laws per se. They are laws of necessity needed by a struggling new tribe attempting to become a nation. Why do you think the Old Testament also forbids the eating of certain things(pork stands out), can you say Health regulations? God/Jesus has nothing against pork, but to avoid possible Health problems pork was forbidden. Likewise, Nations require complex structure in order to survive, harsh penalties help to provide that structure without placing an overwhelming burden on a fledgeling(sp) society. As traditions become second nature(fully ingrained in citizens daily lives), economic prosperity makes reform possible, and the minds of the people are lifted from day to day survival that a society becomes able to abandon such harsh laws.
It really is no surprise(to me)that Christians were at the forefront of the West's anti-death penalty movement. They were able to see that "giving unto Caesar" when you *are* Caesar requires different laws, if being a follower of Christ is ones true intention. Unfortunetly, too many Christians seem to be followers of Caesar(Caesareans? 🙂 )and fashion Jesus to fit the Caesaerian mold. Instead of instruments of Social Justice, givers of mercy, examples of Love, and Peace Makers, Christianity has become a tool of the government(an opiate similar to TV/movies and other "entertainment" forms)and even in extreme cases, tools of political parties. Like Constantine in Roman times, Christianity has been embraced to gain power. Unfortunetly, as in those same Roman times, Christianity is once again abandoning Jesus and embracing Caesar.
Message to Christians: Feeling good, means nothing! Doing good, means everything!!