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Let me preface this with stating that the pre-columbian period of mesoamerica and the Andes Mountain regions are my favorite areas of study and I am fully aware of the advanced civilizations that spawned there: The Incans, Mayans, Olmec, Toltec, Aztec, Zapotec, Mixtec, etc. to name a few. But, if you look at the largest and most influential civilizations in the world, they are mainly contained to the Eurasian continent. To name a few: Romans, Greeks, Phoenicians, Chinese, Mongolians, Persians, Siam, Portuguese, Spanish, French, English, Ottomans, etc. The Phoenicians did not cover much land, but they were arguably the best seafaring society of their day. Their civilization was partly the basis of the Greeks which did have a very successful empire. The mongols had the biggest empire ever (maybe the British were bigger, but I feel the mongols were much more impressive given the time). The Chinese have historically been the most powerful civilization ever (except for the last ~two centuries).
Do not get me wrong, the Aztec and Incans were amazing civilizations and my two favorite ones to study, but they never covered the same area and had as much influence as civilizations in Eurasia and northern Africa. The Aztecs only took over central mexico. The Inca actually were a decent size, but that is really the only one out of all the Americas.
I think that the Gulf of Mexico and Caribbean Sea offer a similar seafaring potential that the Mediterranean offered. I would have expected one or two civilizations to really take advantage of the water and really take over this area like the Romans did in Europe. I just think there are several areas in the Americas that geographically would be ripe for lots of trade and conquest like we saw in Eurasia.