
It's already been noted that Michael Jackson's children enjoy singing and dancing. No wonder, with their father as such an influence.
They never got to see Jackson rehearse or perform live (not sure if they saw a recording or not). But he would sing and dance around them at home.
The "person" interviewed on the first video clip mentioned that the upcoming London concert was going to be the first for his children to see.
Paris Jackson, Michael's daughter, now 11, seems to still have an interest in music, in singing that is. It has been said that she shared that interest with her Aunt Janet. And that Grandfather Joe backed up her interest.
The concensus might be that Michael would never want the exact same background for his children, but if protected, he might not have minded them in the business. It is a hard thing to be protected in such a business - it can get the best of those in it.
Hopefully with proper guidance and support, wrong-doing would not happen to the Jackson children. But this might be jumping the gun - first let us see if they persue it as a career, and that it will be their choice vs someone else's, as Michael would say,
Respect the children."
Footage here showing Paris and Prince Michael much younger having fun with Dad. Notice what Paris has to say at the end. Godfather to youngest son "Blanket" shares in the second clip.