Yes, "vetting" by the government should be required of every adult who frequently or intensively works with children. Children are exposed to many people in their early lives, and it is a privilege for adults to work one-on-one with children. In turn, only the best adults should be able to work with children.
Yes, vetting by the government should be required of every adult who frequently or intensively works with children, because one child that is needlessly victimized is too many. Adults often prey on children because children are weak and defenseless. Even knowing that an adult will be thoroughly checked before working with children might be enough to deter even one predator. For that child, it is worth the cost and time.
There are too many psychos out there who want to abuse, molest, sodomize and rape children. Therefore, the government should vet adults who want to work with children as much as humanly possible. Even those who were once porn stars and then work with kids should be examined for any possible deviant behavior.
"Vetting" by the government should be required of every adult who frequently or intensively works with children. Vetting is basically an intensive background check for anyone that wants to work with children and is done before they are offered the job. I think this makes sense because it will protect the children and that is always a good thing. However, this is not a 100% guarantee but another safe-guard put in place to try to protect children.
I do not believe it is necessary to have every adult who works with children vetted by the government. I believe this work load would be a burden on the government, as far as time and resources. It would also probably not change much in the way of access, seeing that most school districts already run background checks.