Free floating telescopes needed for exoplanet imaging will have to fly in very precise formations (we're talking nanometres precise) and be permanently shielded from the Sun to remain cool enough to be able to function. Turning them "in any direction" will be hard to say at least.
The challenges of Interferometric stability are pretty much the same, whether you are on a planet/moon or in space. And in space you can make much larger arms for the interferometer. There is a reason that the next gravitational wave detector (where interferometric precision is crucial) is supposed to be built in space.
Anyway, the arguments you make are for a permanent, self-sufficient colonization of the moon. And we could argue whether making everything automated wouldn't be the better option. But that's quite different from the touch-and-go missions the Chinese are planning right now.
Edit: And I would like to know, how infrared interferometry is supposed to help detecting extra-solar planets. I don't see how thermal star-light can have enough coherence length to do that.