That's true. That doesn't change the fact that they are not that different from Mohammedian regulations.
It is because Muhammad adopted some of those laws from Judaism although his innovated religion denied that God had lived in the midst of the Israelites. The connection in the Torah between religious regulations and God's presence in Israel is missing from the Qur'an.
Our God doesn't seem to have anything against rather harsh state laws. For me it seems that Jesus' milderness is not because God is against more harsher state laws but because He was setting an example how individual Christians should act.
However, the context of the narrative about the woman caught in adultery in John 8 says otherwise by making a comparison between Moses' teachings and Jesus' interpretation of those teachings. A similar comparison can be found in Jesus' sermon on the mount.
If Muhammed had been only a spiritual leader and not a political one I'd guess that his regulations might have also been much milder.
He probably would have no regulations then.