You haven't learned your lesson from the last 20 years.
There are no more "European markets for space launch" and "American markets for space launch" than there are "European markets for database products".
People compete globally.
The only reason that someone in China or France wouldn't prefer the use the best quality / lowest cost supplier is if their local government gets involved and distorts the marketplace via either taxation or regulation.
Also, if the US wants to buy an aerial refueling aircraft, they are more likely to choose Boeing than Airbus. And of course its the other way around, too.
So these are two different markets. For products, but also for engineer recruiting.
Do you think the Air Force would launch recon satellites on a Chinese rocket? How about the X37B?
Granted, there is also a sizable international market for purely commercial launches.
If you want an accelerated view of what I was imagining, consider this: say SpaceX is wildly successful. Ten years from now, they have not only fulfilled all of their existing NASA contracts but they've also made huge advancements towards bringing all sorts of payloads to and from the ISS and maybe the moon, whatever. They could offer their services to any highest bidder, or, as a US company, could continue to cut deals with the government that they pay taxes to and bias all of their business in its favor. Their profits will not suffer because there will likely be similar ventures in other countries, and all in all it will be very similar to space exploration at the height of its frenzy, before everyone got all chummy with common goals for humanity and whatnot. I wish I could type this faster and more clearly but I've got to run– I hope you get my point though (even if you disagree).
Competition is actually a good thing sometimes.