If/when this comes to pass, I can forsee that this coordination will come under the heading "too difficult" and Civilian ATCOs will refuse to coordinate at all with Military units.
This change has been subject to extensive [and successful] trial by a number of civil and Military units (civil / military airports, civil / military ACCs plus of course our air defence colleagues) with very few problems reported.
If co-ordination needs done I don't really see any ATCO (civil or military) declining to do what's needed simply because the procedure's changed
.
I agree with Diddly Dee that 1 common method, applied consistently across the patch is the way ahead.