Well, most of the early jets were based on German technology. I seriously doubt any prop planes broke the speed of sound...the drag from the prop is just too high. Possibly the Me-262 (Although not sure it could maintain control based on tail size) the me-163 might have been able to if it had a tail.
Don't forget, the first F-86 had leading edge flaps that used the mechanism from a
Me-262. So maybe both the US/Germans broke the sound barrier!
Of course many of the former german designers were designing our aircraft (Lippisch, I know some went to North American, and the other excellent Engineer who went to work for Martin(Can't recall his name right now))
Also, don't forget the X-1 design was basically a US rip off the British Miles (M.52?). I have noticed many aviation historians give credit to the `all moving tail' for trimming supersonic aircraft to the X-1 test team. However, the Bell design team, which reviewed the Miles design before designing the X-1 would have noticed that the Miles design had all moving tails for both the horizontal and vertical control surfaces. I would reference some German designs which had all moving tails. However, I believe that Miles were the first design team to actually apply the all moving tail control theory for the sole purpose of being able to trim the aircraft at supersonic speeds.