No. You wheels would've stopped turning sooner, but your car wouldn't have stopped. If you'd stood on the brake pedal with no ABS, you would've skidded further than it took you to stop with ABS. That's why ABS is there. The simple fact is, you were driving too fast for the conditions, and, on that slick snowy road, no braking system on earth could've gotten you to stop in less than 100 yards. You can't cheat physics.
So much is wrong in this. First, if the wheels had locked up the car would have become a snow plow and that creates a pile of snow in front of the wheels. Second, had he deployed a drag shoot he could have slowed the car down quicker as well. Additionally, depending on the vintage of the car and the quality of the traction control/ABS, a slick snowy road can make those systems lose their minds. Since it is an edge case, modern systems will have the driver of the vehicle adjust the ABS controls b/c the standard ABS response is the worst way to maintain control.