You cannot produce one shred of empirical evidence to support your outrageous statement. You are merely parroting the NEA line.
And can you shed any evidence to state otherwise that abuse or neglect won't happen?
I just know from where I am at, a homeschooler, and seeing some of my friends with their children who do not homeschool, can see things a little differently.
I used to push homeschooling on everyone who had a problem with PS's. But after observing some of my friends for a time, I can honestly say they may not be good candidates for homeschooling; patience at a minimum, and organizational skills are seriously lacking.
You can't win against logic like that.
Give it up, while you still have your sanity.