Praying, IMO, that is too simple a proposition. You have to specify, for instance, if both heads are active, have a brain, appear likely to have cognition as they develop; whether both will die if one is not removed, and so on.
If you are trying to ask, both heads being equally sentient (or sentient at all) and life not at stake for both without the removal of one, then I guess you mean would it be ethical to remove one for cosmetic purposes, in which case the answer is no, of course not. They are, after all, just a set of twins: one head is not a monster.
The fact is, none of these conjoined twins cases, which this is, are ever so straightforward as that. There are always complications with regard to the support various shared organs give to either twin, and often extreme variation between the level of development one or the other may attain.
It's a tragic situation, and some very admirable people have lived out their lives under these kinds of physical circumstances, joined for life to brother or sister, forced to share every moment, every intimate physical detail, every milestone, and often at the end one is forced to face, in their only lonely moment, imminent death attached to the already deceased body of their twin.
