Precedent
While this technique, of necessity, can't combine the amateur telescopes into a super-telescope with the radius of the Earth for resolution - that would require them all looking at the sky at the same time, and being linked via interferometry - it is similar to the effective technique used by amateur astronomers to get rid of atmospheric blur, and get pictures of Jupiter and other planets that rival ones taken by the Hubble.
So the pictures will have better contrast, and they will look like they were taken by a telescope in space - but their resolution will still be limited by the sizes of the mirrors on the amateur telescopes they were taken with.
Well, sort of. If Intel can do photolithography of 22 nm features with light having a 195 nm wavelength, a little finagling is possible.