In the context of what we know about 2012, this is quite significant.
Numerologists, for example, believe that events linked to 11:11 appear more often than chance or coincidence. The see it as a sign of significance that creates or points out synchronocities in the lives of those who see and recognize it. To some, 11:11 is a metaphor for reality; a pattern or cycle that repeats in time. It represents balance.
For the winter solstice to occur on December 21, 2012 at 11:11AM, this is more than just coincidence. It points to something greater in light of everything else we know about 2012.