In the grid we have, where most people don't have batteries, nor a way to react to (or even perceive) network-side load shedding commands, you get rolling blackouts at best, and brownouts, damaged devices etc. at worst.
It's true that there are tragedy-of-the-commons situations where not everybody has a battery, but it's also true that there are higher-level but subnational entities within the U.S. that have invested significantly in renewables + battery storage. This chart of where electricity comes from on a state-by-state level is illustrative:
https://www.nei.org/resources/statistics/state-electricity-g...
California, Connecticut, DC, Idaho, Maine, Massachusetts, New Hampshire, New Jersey, New York, Oregon, Rhode Island, Vermont, Virginia, and Washington are > 95% renewables + natural gas, all of which is produced in North America. If it comes to the point where it's "keep the lights on or sever ties with fossil-fuel states", I'd bet that they choose the latter.
(Note that the table kinda refutes your point anyway: the only states that are > 1% dependent upon oil for electricity are Alaska and Hawaii. Other than natural gas, which is largely produced domestically [1], the other big fossil fuel source is coal, which is also produced domestically.)
[1] https://www.eia.gov/energyexplained/natural-gas/where-our-na...
At >95%, it's probably a very different story. At that point, you basically turn off your aluminium smelter and you're good :) (And note how GP said "renewables", which gas isn't.)
And my point really isn't about oil specifically, it's about GPs "renewables increase sovereignty" thesis in general.
(And yes, I have solar + battery, and have lost 100% of my outside electricity supply on a half dozen occasions since having it installed, and my actual response has been to not run the clothes dryer.)