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.