Wow. You know even less about the grid than I imagined. Time for school.
Those air conditioners gained widespread popularity in the 1940's and 1950's. They were added over time and the grid evolved to provide the extra power. And that was with very old technology. The grid survived the transition just fine and EVs will be no different.
The reason we have more outages today is because we haven't upgraded our infrastructure like other developed nations. But that is changing as a large chunk of the recent infrastructure bill addressed modernization of the grid.
Air conditioners are worse for the grid than electric cars because all the A/C kicks in at once during the heat of the day, which brings with it a heavy load at exactly the time when everyone is awake, and while factories and offices are using a lot of power.
But an EV is typically charged at night when everyone is sleeping and A/C units don't need as much power. So there is plenty of spare capacity to charge EVs at night.
Lastly, EVs can actually be healthy for the grid because they can help with peak shaving and
frequency deviations. This will become practical once we have enough EVs that include V2G capability. Some EVs can already do this.