OK, so I'm guessing your parents would have no problem babysitting for you if you were going to a rock concert where they sang about sex and drugs or if you were going to see a movie that was a little violent in places? And yet their consciences are bothered about you going to a spiritually uplifting event that extols God? Yeah, that's not twisted, is it?
For me, if JWs want to sing songs to "jehovah" all day long then that is OK by me. I wouldn't mind baby sitting for them.
If I want to sing songs to Jesus (like they themselves would have earlier last century) they that is going to offend them.
Jesus is offensive and so is the symbol of power of His death and resurrection power.
Galatians 5:11 (New International Version)
11 Brothers, if I am still preaching circumcision, why am I still being persecuted? In that case the offense of the cross has been abolished.
All the best,