Haven't seen the Nemo movie, so don't know what he is - is he an anenome fish?
A lot of responsibility comes down to the aquarium shop owner as well as parents. No responsible shop owner would sell any marine set up to a novice fishkeeper, unless they were very well aware of what they were getting into or intended to pay for tank maitenance on a very regular basis! Unfortunately, not all shopowners are responsible, and some have the 'disposable fish' mentality (i.e. you want exotic flowers? Buy them, stick them in a vase, and keep them until they die. You want exotic fish? Buy 'em, stick em in a tank, and keep them until they die). They make no effort to educate the potential purchaser.
Fortunately, most of the shop owners I've known make a great effort to ascertain what experience and knowledge the purchaser has. After all, if they buy marine fish and then experience 'new tank' syndrome as nitrate and ammonia levels skyrocket, wiping out the new purchases, the would-be fishkeeper is likely to become frustrated and give up. But start them out with something more appropriate - like freshwater livebearers! - and you may hook them on the hobby, progressively upgrading until they're ready to purchase the 500 litre live-rock reef tank system.
Anenome fish are one of the few marine species that have been bred in captivity, and it is possible to buy some captive bred species in aquarium shops. The responsible elements of the aquarium industry are conscious of conservation issues related to their hobby, including cyanide collection, and are attempting to develop breeding programmes and promote the use of hand-caught only fish to minimise any detrimental effects.
Parents, too, should take their share of responsibility. I have little patience for anyone who views animals as disposable or toys - be they fish, dogs, horses or any animal. They are not playthings, and it is the responsibility of every person who intends taking on a pet of any type to find out what that animal's needs are - be it a goldfish or a surgeon tang.