The trouble with this idea is that you need the Beatles in the '60's to get music to where it is today, so if we were to remove them from that period then this period wouldn't exist to put them into unless we create a whole cross over dimension where we copy the 60's Beatles and insert them into now but different.
Really we need to get a time machine, go back, clone the four Beatles, Brian, George Martin, Derek Taylor, Neil, Mal & Freda, then travel back to now and let them loose - but with some dodgy disguises and ...