Wimbledon started off at a gallop when Damien Francis and Neil Shipperley set up David Connolly, who struck the post.
The game died for a period after that although Palace did seem to have most of the control. Julian Gray and Dele Adebola did come close for Palace.
The opening goal appeared on 15 minutes. Wayne Routledge on the right found Gray with his back to the goal. He collected the ball, spun and scored in one movement.
Palace took over with Andrew Johnson and Adebola having creditable but fruitless attempts.
The second goal came from hard work by Adebola, who got into the box and fired in a shot that Kelvin Davis managed to get in the way of. The ball fell kindly for Johnson who struck from three yards and looked to have wrapped the game up.
But if Palace thought they'd won the game, they were badly mistaken.
Shipperley had looked dangerous, if unrewarded, for the Dons and he began the comeback. A neatly drilled pass from Connolly into the Palace box allowed Shipperley to skip past the last defender and beat Nik Michopoulos to open the game up.
Substitute Patrick Agyemang came on for the tiring Alex Tapp, and within seconds had wiped out Palace's lead. A disastrous attempt at a backpass from Hayden Mullins to his goalkeeper was well under-weighted.
Agyemang pounced and gleefully smashed home the equaliser.
Wimbledon's move to Milton Keynes will still go ahead and in the programme this was pointed out that the press seemed to be getting many points wrong.
Any hold-up is due to the planning of their new temporary home and that is why the expected move will be later than sooner