I'm not sure if there are any Jews who are calling for the reinstatement of those barbaric punishments (I've seen many calling for the return of animal sacrifice in Israel, however). Credit must go where it's due, because Judaism was reformed by civilised men, two or three centuries ago.
Islam not only retains the Old Testament punishments, but also vehemently opposes reform as they believe doing so is to change (according to them) 'God's inerrant word'.
There will never be any real reform with these animals.
I'm loathe to step into this -- clearly the muslim faith is a false faith, and therefore they have no authority to put people to death; and clearly these punishments are used to support their barbaric treatment of women as slaves to be sold to old dirty men.
But it was God Almighty who instituted stoning for the violation of His commandments. It was his appointed representatives who passed judgment, and the deaths by stoning were therefore holy and just.
So I cringe at the blanket condemnation of the practice as "barbaric", or something that should rightly be "reformed" by civilized man, suggesting God is somehow uncivilized.
We still have the death penalty in this country, but we do it more "humanely", as if the injuries, pain, and suffering of the last minutes of one's life is of greater concern than they days, months, or years of living knowing the exact time of your death, or the termination of one's life on this earth.
Stoning seemed to be stopped by Jesus because the Jewish leaders no longer had the moral authority to impose punishments. One might argue today that our country has lost it's moral authority to enact what was once a Godly punishment of execution as well.
Sorry, this doesn't pertain to the barbarity of the muslim practice as I said...