To be honest, that Andean agriculture did not spread much further into the temperate lowlands of South America/that it did not do so thousands of years earlier than OTL is a major puzzle to me. I suppose that the limitations of both crops might have made them less attractive to adopt in some ways-quinoa likes it cold and dry, and the best agricultural lands of the pampas are pretty warm and humid. This also limits the ability to store potatoes-the climate of the upper Andes is pretty reliably cold and dry, which allows people to create chuño, freeze-dried potatoes that can be stored for years. But in a warmer, more humid climate, you can't make chuño and as far as I've been able to tell with my research, you can't make storable potato flour without modern industrial ovens. That just leaves the tubers, which even when properly cured don't seem to be able to last longer than 9 months at most-not enough to get an agricultural society between harvests. IIRC, there are parts of the Pampas which are fertile enough to produce a double-crop each year, which potentially does overcome the storage problem, but for purposes of food security it's pretty delicate since you're relying on only one crop. Maize could help overcome that, but it seems that maize adapted to temperate latitudes developed late in South America's history and never really got a chance to be established in the Pampas (outside of the Rio de la Plata estuary, depending on which archaeological papers you find credible).
So agricultural societies with much denser populations in the Pampas are possible if Andean crop packages spread eastward, but likely due to the inability store potatoes long term (and therefore use them as storable wealth) there is no state development equivalent to OTL's Inca Empire for most of pre-contact history.
Going into North America, in the Mesoamerican highlands potatoes would probably not be a major crop, but would be useful as a supplement to maize in high mountain areas or more marginal soil. From there they could presumably spread to the Pueblo region where Arkenfolm has already pointed out how useful they could be. Given the importance of root crops in the hunter-gatherer lifeways of many people west of the Rockies (several different tribes were refered to as "Digger Indians" by White colonists because of this) the presence of the potato could encourage peoples who IOTL had remained hunter-gatherers to embrace agriculture. Though, due to the storage problem I've discussed, these peoples could not do with just potatoes as staples and would either have to grow enough maize to tide them between potato harvests or domesticate native wild plants.