United were dominant for the first hour with two goals for the Bulgarian striker, but two strikes in six minutes by Steven Gerrard dragged Liverpool level before Berbatov won it six minutes from time.
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Tottenham Hotspur, 3-1 comeback winners over Wolverhampton Wanderers on Saturday, are fifth on eight points and last season's top-five finishers now occupy the first five slots.
In the day's big game at Old Trafford, United were in total control after Berbatov headed in a 42nd-minute corner and added a brilliant second by bringing down a cross on his thigh with his back to goal and scoring with an overhead-kick.
"I was saying to myself it's going to be 10 but you end up 2-2; it was a travesty of a scoreline but a great result in the end," manager Sir Alex Ferguson told Sky Sports.
Chelsea's fans sat back awaiting more goals but a combination of better Blackpool defence and a drop in attacking intensity led to a scoreless second period.
"It's fantastic, through the years we improve and we try to score as many as we can," Drogba said.
"We scored four in the first half and in the second we had so many chances so maybe this is something we have to think about even if the result was great."
