They *did* steal their identity, along with league position and registration. However, AFC Wimbledon did at least get their identity back when MK Mongs washed their hands of the pre-2004 history. The only thing that now remains "Wimbledon" about the Mongs is the stolen league place.
I for one...
One of my mates is a big AFCW fan. Never mind AFC fans not travelling, he reckons there is a large proportion of their support who advocate their club simply refusing to EVER play MK Dons and taking whatever punishment the FA sees fit. I can't see that happening though.