Can you have both an Amulet of Mighty Fists giving you Melee Special Abilities and Body Wrap of Mighty Strikes giving 1-4 of your attacks an enhancement bonus each round?
Linkified.
Yes. Just remember, these abilities don't stack, so you only get the best of each ability.
Recommendation: get the enhancement on the Body Wrap and the other abilities on the Amulet, but spread the love to minimize max effective enhancement.
/cevah