Well, I couldn't resist playing the video footage of the creature. My opinion is that it's a bear carrying a large fish -- like a salmon or something. I didn't think for a second that it was a wooly mammoth. I think those that do are victims of wishful thinking.
Anyway, the wooly mammoth was a pretty cool animal. Not only could it withstand extremely cold temperatures -- think Ice Age climate -- the males had massive, curved tusks. The tusks are thought by some to have been used to shovel snow out of their way as the trekked across the frozen tundra. Even with their huge size and formidable tusks, they weren't carnivores. Instead they feasted on plants, trees, shrubs and herbs.
Their coats were resistant to the frost. According to information on the National Geographic website, their skin secreted a thick oil that coated their hair and insulated them from the extremely cold temperatures. They probably didn't smell the best, either. That thick, shaggy hair, coated with body oil and various other things....ugh! Yet, no matter what they smelled like, they were definitely cool. They were like a walking snowplow, built to brave the cold weather.