Comment Re:Yes. What do you lose? But talk to lawyer first (Score 4, Informative) 734
I'm a US citizen living abroad with a dual-citizen son. I can tell you that there are advantages and disadvantages. The benefits are that they can travel freely to the US and live and work in the US without having to obtain a green card. Also they can travel on either of their pasports largely depending on which country they travel to and they will qualify to receive assistance from any US consulate or embassy when overseas. They will be legally entitled to vote in any federal elections in the US when they turn 18, although if they have never actually lived in the US in practice they can't because no state will allow them to register to vote in that particular state.
The disadvantages are that when they start working they will always have to file a tax return in the US, regardless of where they actually live. For the most part they will receive an exemption for US taxes for any income they receive while working overseas with the exception of self-employment income, if they are legally self-employed then they will have to pay self-employment tax in the US in addition to any tax they pay overseas (some, but not all foreign countries have a self-employment double-tax agreement with the US, though which mitigates this). For me to avoid this tax I had to form a foreign corporation and work for that corporation so I'm not legally self-employed.
Another disadvantage is that they will be required to register for the US selective service when they turn 18 (the draft). There has not actually been a draft since the Vietnam war, though, so this is not likely to become an issue, but it is certainly something to consider.
As stated by the parent they can always renounce citizenship later and avoid the tax and selective service issues, but this is expensive (about $2500USD).
Also speaking of expense, having to file two tax returns means additional accountants fees and additional paperwork, especially if the country you live in has a different tax year than the US (which is very common). Having to maintain two passports is another extra cost as well, but not very expensive when you spread the fees out over the life of the passport.
All of the above said, I made an informed decision to register my own son as a US citizen and I do agree that the benefits outweigh the down sides, but it's certainly not a "nothing to loose" situation, there are downsides and it pays to make an informed decision with full knowledge of them.
My wife is dual Peruvian/US citizen, and has passports from each country. Because traveling as a Peruvian generally means getting a visa beforehand her Peruvian passport remains unused. When we went to the college one of the first things that she did after getting her legal residency was to establish her legal residency in the town where we lived so that she could pay local tuition rather than the much higher out-of-town tuition or the obscenely expensive foreign student tuition. Working here in the US is also a royal pain, should your kids ever wish/need to do so, for a non-citizen.
BTW, I lived in Peru for three years, never filed to pay taxes during that time, and when I moved back to the US just filed them as "late" and paid a very minor fine. This was two decades ago though, so that might have changed.