Without even coming close to admitting or denying that I have ever popped my kids' backsides, let me assure everyone that I don't feel the need to have the option of spanking my kids enshrined in the Constitution as a basic human right. I will say that focusing on corporal punishment as the supreme evil that parents can inflict on their children ignores a universe of terrible punishments in which there is never any hitting whatsoever. Shaming rituals rarely involve beating of any kind, but ISTM that they more clearly constitute abuse than a whap on your kid's butt.
What I will defend, however, is my right to force my kids to attend Christian, Buddhist, Muslim or any other services or events I damn well want, just as I will defend your right to refuse to allow your children to come along. I'm not "forc[ing] them to believe in a particular god," I'm forcing them to go to church. Being dragged around by your parents is the natural state of childhood.
As for the treaty itself, having skimmed through it, the only thing that worries me is if conservatives ever read Article 6.1, "States Parties recognize that every child has the inherent right to life" and start to really push through zygote-American bills like the one they just tried in North Dakota.