Humanity would need to collectively put down the shrooms
1) Universities and similar institutions would probably change test score requirements for entry into a flat INT or WIS barrier instead.
2) Dating websites would probably offer different categories to look for people in based on CHA scores. People with high CHA, if outnumbered by low-CHA people enough, would likely become hated outcasts.
3) Most competitions would quickly become meaningless as a result of being able to compare stats and skills to determine who would win anyway.
4) Governments would fight over people with maxed-out INT/WIS. The optimal career path quickly becomes pumping all your level-up points into INT, maybe a little WIS or CHA, but this creates a vacuum of strong and dextrous people, making that the optimal career of the next generation. This flip-flops repeatedly over the course of the rest of human history.
5) Genocides would likely become focused on purging people with low starting stat pools, rather than different appearance.
6) Depending on how high Wis and Int scores rise due to it being the optimal career path, it is possible that certain ideologies would fall into disuse and be abandoned.
1) They might have a 'minimum to apply' Int/Wis stat added, but I would think they would still include an entry test to gauge the individual's skills beyond the visible five.
2) Due to the number of different types of dating sites, I could see some cropping up, though I think ones that are based off of the sheet other people would see would be a bit more common due to having more information.
3) I do not think so, due to the everpresent luck factor and how different skills would interact in 1v1 sports, the different roles in team sports played differently depending upon the strategy a team utilizes, etc. It's not an overhaul of the universe to make it obey stats, just putting a number to what already happens.
4) I can see governments wanting to capture individuals with high Int/Wis stats. I don't agree with your latter point about optimal career path however. That entirely depends upon the culture and environment a person is raised within. People in impoverished sections of the world would probably want to focus on Strength and Consitution, as those would be the ones that help them live. And don't forget about the interests of the individual. A person may not prioritize Int/Wis, because those are not the types of jobs they like.
5) Considering the state babies are born in, they would probably have an effective stat of 0, bit of xp towards 1. Bit meaningless to base it on that. Development rate, on the other hand, might be affected.
6) Argued with optimal path above, but yes, there will be changes in the popularities of different ideologies.
1) It would also likely screw some folks over hard unless the skills were very discrete -- like, just an "art" skill would likely shaft people that are abnormally good at a specific sort, but bollocks at everything else.
2) Neurology and theology/metaphysics would see an absolute explosion in funding and study, though, just to figure out what the hell just happened to everyone's brainmeats.
1) "Art" and "Martial Arts" would probably be more of a category that opens up a submenu with different styles (Martial Arts probably being a subcategory of Combat, and Art being a subcategory of Culture.
2) Considering it's initial inexplicability, it might be thought of as an act of God(s) and a religious revival would kick off.