I live in the US now,have become a citizen and yes, no matter where i live, i am required to fill out a tax return every year. If you have ever seen a US tax return you will know how complicated and time consuming this is compared to a British return.
Now if you are on exchange in the US, it is true that one of the constitution amendments allows all children born in the US to become citizens but as a serviceman you don't have to take up that option. I recently had a friend showing his two US passports for his two babies that he had applied without even being aware of the consequences , very foolish in deed.
It also cost about $2500 t.
o relinquish your citizenship, its not just a case of cutting up your passport and returning it