Yes,Amaruq they are,but that does not mean i would buy one
I think just about everything is beautiful in it's own way esp,wolves,any big cat,cheetahs,tigers etc,bears even a little spider,they all serve a purpose and if left alone in their own environ,will survive..
The capture and transportation of big Iguanas,especially from Mexico should not be encouraged,half of them die on the way,the same as with tropical birds etc..
I am sure you would do your best to be a good Iguana-mom,try to do all the right things,but your best bet is to travel to Mexico,if you can and see them in their habitats,they can sometimes be up to five feet long(tail incl)and they are amazing.