There's nothing weird or strange about foreign owned companies here in the US, most people aren't even aware they're foreign - BP is a good example. There's nothing wrong with those companies staking claims here in the US, their products can be just as good as a US product. There's nothing magical about merchandising that the US has the lock on the market.
But there is something to concern ourselves. The intrusion of more and more foreign companies signals the decline of America as a world power. Perhaps now we are more a world equal, but that is something we'll have to swallow along with our pride. However there are a few things that go with foreign companies that we need to be worried about. How do the host countries of those companies view industrial espionage? How do foreign company's labor laws compare with our own and how does that clash with our culture.
Foreign espionage is increasingly important, as not every country differentiates between company and country when it comes to spying. France and China both routinely steal secrets from other companies and apply them directly to their national security policy. Currency and economic strength is a security policy too. While that may not be very meaningful when talking about a coffee shop or gas chain, it becomes very real when discussing aerospace, industrial manufacturing, and software development. Let's say a foreign firm wants to plop down a factory in the midwest and start building say...tanks. Do we really want a company who's parent government will benefit by learning our technology building our defence products? Do we even want them involved at any level? Could you ever trust them, even if they did it through a partnership with a struggling American company?
That's just one hypothetical, and that isn't even the worst case scenario. China is the biggest and worst of all copyright and patent infringers. (And lest you think I'm spouting off, just Google it, there are plenty of instances documented already just with France alone) In capitalist societies corporations are relatively neutral entities who's loyalties are for whatever currency they deal in. That isn't necessarily true in socialist and communist countries. We need to exercise caution as a country and not let the lure of profit or product erode our country's defences. We may not be killing each other on the battlefield, but every country in the world is battling ferociously to undermine the others in a slow game of domination of politics and finances. The US was on top for a long time, but we over-extended ourselves and now the world has regrouped and is going for the throat.