Yes, SpaceX is american. Based out of California and builds every thing in house. They don't farm out much work at all to other companies.
I like how Dryson moved that goal post though. "Oh, they didn't have any failures recently".
And that failure was barely 4 years ago, not "nearly 6". The article is from Sept. 2011.
Statistically, since Blue Origin has flown they're rocket so very little, they have a much worse track record with the New Shepard (1 failure out of 3 known launches). Compared to the Falcon 9's (1 failure in 21 launches).