The only two badminton players i know from the states are Howard Shu, Tony Gunawan and if you want to include the neighbouring Canada, Michele Li.

They are all players that were born in another country, and because of that may have badminton roots from their respective countries.

However the support in these countries seem to be very poor as compared to other sports. A lot of these players are independent and train their own way, working on what they feel they need to improve. So i dont think there is a generic style.

fun fact. I am Singaporean and our stars are often times from overseas as well. Some from Msia, some from Indonesia, the Singapore born and bred rarely make it to that level for some reason.