FEC rules don't really cover who sees what, they cover what anyone can see.
Now we can expand on those rules to dictate who can see what, but no matter who views the ad, it would likely be bland, and confer no new viewpoint at all. Lest it fall afoul of FEC rules.
What we're really talking about with FEC rules, is a return to the middle, because extremist views can be shut down by pointing out misleading content in the ads and subsequently rejecting them. Whereas the bland, meaningless stuff will always be free of any misleading content, and be subsequently approved.
For sure...
"I don't want to see political ads from a local election across the country."
They should be targeting eligible voters. If a local election is taking place across the country, then, of course, you shouldn't be seeing the ads.
"There's also no reason for me to see an ad for the Republican primaries if I am voting in the Democratic primaries. Etc"
No, this defeats the purpose. We should be trying to expose people to more viewpoints - not creating more echo-chambers.