I think we're mixing a lot of issues here.
There's the public nudity. Which is cool, regardless of who you are. You were born naked. If you never owned a stitch you wouldn't be clothed now. Naked is the default state for human beings.
Your reaction to my condition is entirely within you.
If you don't like looking at naked bodies, look away.
Throwing eggs is initiating force against someone. How could it not be? You hurl a missile (the general term missile) at me and it somehow doesn't equate to using force? So you'd be cool if I started tossing hard boiled eggs at your windows? With a potato cannon? Don't be surprised when one of your egg tossing friends gets shot, because the sound of the egg popping against the house made an ex-marine a little twitchy.
Child molestation is real, but more likely to occur within a family than without. However if you really worry that much you could take all sorts of steps to prevent your child from being abducted/raped. (Hire guards, install lo-jack, vaginal defense system, etc) (But wouldn't this be less likely to happen in a free market system, as some of those people looking to have sex with children will be able to and therefore the incidence of child rape will go down.)