Those turned out very nice...I think you're right as far as doing them with a machine would make it more uniform (not saying yours dont look uniform...just would make it EASIER to get them uniform...and faster).
I just bought the 3M set up to attach to my cordless drill..was like $20 at walmart and comes with 800,1000 and i think 3000 grit...there might be a 1500 in there also but i cant remember.
I'm gonna test it out this weekend...i'll post pics when i do. I don't know if skipping compounding/polishing will actually make the bond better since
A: compound/polish isn't suppose to leave any residue left over...like wax does
B: If you do a prep wipe with mineral spirits like you did...if there WAS any compound residue left over..i'm sure that would remove it
So in THEORY, i think it would work fine either way. But that just my thoughts