My guess: No widespread use of bronze. In the Old World, widespread use of iron tools and weapons came only after 2,000 years of widespread use of bronze tools. But iron smelting is much more difficult than bronze, gold, or silver smelting. Since metals were used in the Americas primarily for decorative reasons, there may not have been any push to adopt harder materials, and iron doesn't have that great of value as a decorative material in comparison to the much easier to craft copper, gold, or silver. If you'll forgive me for quoting Wikipedia:
"smelted iron requires hot-working and can be melted only in specially designed furnaces. It is therefore not surprising that humans only mastered iron smelting after several millennia of bronze metallurgy."
Makes sense to me.
So then, why wasn't bronze use widespread in South and Central America? Maybe tin was the limiting factor. From my understanding access to tin is always the main hindrance to making bronze, since it's much less common than copper. South America had a fully developed smelting culture for gold and copper alloys, but only made a small amount of bronze. So it seems that in South and Central America they were entirely technologically capable of doing making bronze en masse, the fact that they didn't seems most likely to be due to lack of resources. Anyway that's my guess, I have no actual idea what the distribution of pre-Columbian tin deposits in South America was like compared to Eurasia.