This causes them to clash repeatedly, which threatens to compromise their whole mission. Their children are growing up, and living in a generation (and culture) that they know nothing about.
This is contrasted with the family of CIA agent Stan Beenan as his wife and him go through similar problems. The coldness he built up during his time undercover has made their marriage one of limited communication, and compared to Elizabeth, Stan's wife has greatly reduced autonomy, making her feel trapped in the gender norms that societal expectations have placed on her.
The various relationships, both romantic and platonic, that are born, developed, and extinguished, throughout the show humanise us to the characters on display, showing a complexity and depth than many may have not previously considered.
As a non-American watching the show I feel there were a few moments that were designed to illicit a large emotional response, but due to having no patriotic feelings towards America or capitalism these fell a little flat. The show works amazingly well even as an outsider, but be prepared for a few of these moments.