Boeing is a publicly traded company based in the USA. That is different from being owned by the USA. Amtrak (which provided passenger rail service in the USA) is owned by the US Federal Government. Boeing on the other hand is owned by a multitude of individuals like you and me and probably a good number hedgefunds.

Meanwhile, Airbus... I've always heard the French Government supports it, but it's hard to see exactly how.

and something interesting I just noticed:

"In 2015, Airbus Group said it was establishing an R&D center and venture capital fund in Silicon Valley."