Between MGM's financial difficulties and the fear that an anti-Soviet fantasy would flop because there haven't been any Soviets around in the lifetime of the largest moviegoing age cohort, there's no mystery for a conspiracy theory to explain. Cpmmies as enemies doesn't work anymore even for Iron Man. In fact, it didn't even do too well in Indiana Jones and the Kingdom of the Crystal Skull in a period setting.
The terms "liberal" and "left-wing" are not synonyms. Using them as if they were is merely rightwing propaganda.
The rule of thumb definition of "rich" is supposed to be, one million dollars a year income. Only a relative handful of movie and television celebrities are rich by any sane standard. Anyone who puts, say, Matt Damon in the same category as Carlos Slim needs his head examined.
Further, celebrities do not necessarily have a platform to be influential from. Even someone as well known as Kevin Costner couldn't automatically command an audience. The handful of celebrities who are geniunely rich and also command ready access to the media at large (the tabloids are not enough, not yet,) are a mere handful. The likes of Rush Limbaugh, Glen Beck and such versus the likes of Oprah, Ellen and Howard Stern. Anyone who turns that into "right" versus "left" is misusing the words.
Last and least, if Christopher Nolan claims Batman Begins and Dark Knight are liberal films, or even just not "conservative," he must be using a definition of "conservative" which means that all conservatives must enthusiastically approve of a vigilante murdering criminals, and any reservations at all makes you a commie sympathizer. This lack of sophistication would explain a lot about why the movies are so bad.