Isn't the US still buying rockest from Russia for critical launches? I'd say Russia might have a bit of an edge.
The US doesn't buy rockets from Russia, ULA uses the RD-180 engine until the new Blue Origin engine is ready. The ULA rockets are eg Atlas V (uses the RS-180) and Delta IV. The Delta IV rocket and heavy lift variation uses the RS-68 [1] engine, which is US tech. Their new Vulcan rocket will use the Blue Origin engine.
SpaceX is certified for critical / national security launches and does not use Russia tech.