Grids have many-many consumers and many generators. So switching on a single AC does not have a noticeable effect. There are however correlated events like the famous East Enders peak in the UK (daily TV show at the end of which a large number of britons go and make tea with their 2kW electric kettles).
But weather can span large areas and the solutions can be roughly categorized as:
- some form of energy storage: batteries, hydro (can be pumped), flywheels, etc
- dispatchable power - gas fired turbines, coal or wood fired thermal plants, nuclear, etc
- demand side response - time of use pricing (like nordpool spot market prices) or getting paid to switch off your AC during peak hours, etc.
Traditionally we have had a grid management mindset of "generation adapts to load", everyone uses as much and when they need and grid/generation adapts to it.
With only renewables the mental model of "load follows generation" could make sense, people (or rather peoples devices) get a signal when it is most beneficial to consume and when not to.
I think the reality will be some combination of all of the above. Mostly renewables but also diverse set of renewables that are somewhat anti-correlated, like wind+solar plus distributed. The shortfalls could be filled with natural gas fired power plants. Some nuclear when/if built/available combined with smart cars and devices. V2G will get there eventually as well and then the car battery will have much more energy available than a typical home uses in a day.