The mind would only have to exert force to move an object if the object has mass. Perhaps mass itself is the illusion and the whole universe is mind, in which case "mind over matter" no longer has any meaning. Just as our minds appear to use a holographic method of memory storage, the whole universe could be a mental hologram, powered by some "divine" mind, or perhaps powered by a joining of all our minds, with individuality itself being an illusion.
What force is exerted on one of a pair of separated entangled electrons by the other? We know it happens, but the theory explaining why does not sit too comfortably with the old notions of our nicely predictable physical world.
Not long ago instantaneous communication over vast distances was a laughable phenomenon of science fiction. Now it is a distinct possibility that is being worked on.
On an unrelated note, at Scienceworks, Melbourne, I found a display that had various materials to be touched, and gave the temperature of each one. The aim was to show that, although various materials such as metal and carpet felt warmer of colder than each other, they were actually all the same temperature. Anyway, this gave me a chance to try something. I'm a masseuse, and have learned to warm my hands just by thinking "warm hands", but medical people I've spoken to say that's impossible. Anyway, I found I could make the temperature of the metal plate increase much more that any of my friends or family could.
I mention this because it's testable by other people, and I'm confident there will be others who can do the same.