You'd be wrong then. The earliest discovered Maya texts date from a couple of centuries before then, but were already at an advanced level and it's possible that the Mayans were the ones who invented Mesoamerican writing rather than the Olmecs as previously believed. And the political situation of the Maya is known by some degree at that time. Yax Ebh Xook is king of Mutul (known as Tikal to you unknowing ones) at around this time. The Kaan dynasty rules most of the area, they already have massive cities with monumental construction, etc. Ethnic situation of Mexico proper has always been a bit confusing, but I'm sure the Zapotecs still hold power there, from Monte Alban.
Sorry, I may have sounded confusing there: I meant that the Mayans were only literate for a few centuries by the 1st century AD (you do have a point about the origin of the writing system, however). But yes, you are in regard for the Mayans verymuch right, the political situation is well reasonably documented for Mesoamerica at the time. But basically for the rest of the Americas, it's mainly archaeology and a tad of guesswork, unfortunately.
That thread needs to be stickied and all threads ignoring it be destroyed. Seriously, for a supposedly left-leaning forum you see the most blindly imperialist/colonialist people around here who thinks all non-colonizing people are inferior and irrelevant. Simple fact of the matter is, if a boat full of Romans lands in America randomly, they either live out a meagre existence in the middle of nowhere, die from disease or starvation or exposure or anything, or get brutally killed by the natives. They are not going to create an empire simply by virtue of being from Europe.
I was actually going by Thande's premise that the Romans actually manage to colonize the Americas, not that some random boat manages to reach it. Also regarding the creation of an overseas empire, I would argue that the Romans wouldn't/couldn't do that by the virtue of
being from Europe, but by the virtue of
being Romans. What I mean by that is that the Romans destroyed like a dozen cultures / emerging civilizations in the Euro-Mediterranean area (which in my opinion have something in common with the natives of the Americas in that is that they had deserved a better fate), so with the intention to NOT sound like a "blind imperialist", I unfortunately do not see how the natives of the Americas would evade a similar fate as the Carthaginians, Dacians, Gauls, Etruscans, Iberians, Lusitanians, etc. etc. did suffer.