Both my daughters were born and grew up in Germany. They are proud dual citizens. My wife is German, so since they were born in Germany to a German mother, they were German citizens at birth. But as soon as they were born, I called the US embassy (then still in Bonn) and asked what I would need to get them US citizenship. The embassy told me to come in person, what documents to bring. In both cases, I walked out of the American embassy after about an hour with their passports, US birth certificates and social security numbers. I'm sure the bureaucracy is far worse now, but so far, neither country seems to have a problem with their dual citizenship. It gives them a unique advantage, as they can live and work in either the USA or the EU.
This is important, as the younger one moved back to Germany after graduating law school. There was a very high paying job available to someone fully bi-lingual in English and German, with valid EU citizenship or a valid work permit, and a US bar exam so they could practice in the USA if necessary. This was in 2010. She met them at a job fair, since jobs in the USA were still scarce then. When she heard what they were looking for, she said, "look no further. Here I am." She wouldn't mind a posting in New York at the firm's world HQ, and that could still happen. But for now, she has just become their youngest partner ever (she turns 32 next month), and is their star in her field.
Both my daughters were harassed somewhat by their English teachers while they were in school in Germany, as some of their teachers were intimidated at having native speakers in their class who knew better English than they did. Both went to college in the USA. They both had detectable accents in their English when they left. Now, no one can tell from their spoken English that they grew up as Europeans, and they make fewer errors in their written English than most Americans. German remains the mother tongue for both of them.
Both my girls feel fully bi-cultural, and would deeply resent having to swear greater allegiance to one half of themselves or the other. The elder one is happy as she could be living and working in New York City, and only a horror such as a Trump presidency could ever push her to move back to Europe.