For earth or space based telescopes, we just keep the observer and lens rigidly attached and then move the whole apparatus slowly and carefully (computer controlled) to maintain a straight line.
For an earth-atmosphere lens, you don't have the rigid stability between the observer and the lens. You can't move the target or the earth, so you'd need to keep moving the observer to keep it perfectly in place.
That sounds like a lot of delta-V expended for each observation. It's probably easier to just build a 150m telescope on the moon or in space.