Veteran striker Ryan Lowe had three goals ruled out for offside as MK Dons' faint play-off hopes took a major blow.
They dominated the first half as Lowe hit the net with a header and a tap-in and he then fired home from close range after the break, only to be flagged offside again.
Crawley were a threat on the break with striker Billy Clarke, who twice missed the target when well placed.
MK ended seven points off the top six, with Crawley three points further back.
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MK Dons manager Karl Robinson told BBC Three Counties Radio:
"I've got a lot of respect for Richie Barker and his team, but I think we pummelled them today. We've got to more clinical and we understand that.
"I think we could not do any more than what we've done. It's a more dominant performance than you're going to see anywhere up and down the country.
"We're not out of it [play-off contention]. Simple as that. It's no holds barred now - we've got to win the (remaining) games."
Crawley Town manager Richie Barker told BBC Sussex:
"It wasn't through a lack of spirit and hard work. It was a very patched-up team, thrown together, and I thought the second half [display] was excellent.
"I think that's probably the first game in about eleven we've not dominated. It's nice we've come away in a different way and picked up a point.
"As the game went on you could see them rallying each other on. We made sure we had a clean sheet and to be fair they kept going."