Aquaman has talked about this before. Hopefully he will see this thread and comment as well, but here is what I remember him saying in the past.
Turbid water in ponds will clear under the ice. The clearer water will allow more light penetration, and more light can result in the growth of a bottom mat of filamentous algae (as seen in your picture).
Unfortunately, waiting for wind and warmer weather (which will also bring rain and storms) isn't likely to help your situation, especially since you say there is a "huge amount." Spring conditions are likely to increase the turbidity of the water. Increased turbidity will decrease light penetration. Decreased light penetration could lead to die off and decomposition of the algae. With that you'll get a fun little oxygen sag, which could kill fish.
I don't know that there is a solution in the short run other than to hope that the impending decomposition doesn't happen or doesn't happen on a scale large enough to produce a fish kill. Perhaps there is a way to add oxygen to the pond during the decomposition???
In the long run, I think you will want to do two things. First improve the pond's runoff, if possible. I'm assuming this is a farm pond with agriculture in the runoff. A 100' buffer strip around the pond will help filter out nutrients (i.e. phosphorous and nitrogen) that can lead to the algae bloom. Second, establish some "other" aquatic plant life to tie up some of the available nutrients in an effort to control the size of future algae blooms. I'm not an expert here, but I believe a diversity of healthy and controlled plant life would be the goal. There is a great resource (aquaplant) in this
thread.
Good luck! I'm sure others more knowledgeable that me (or is it I
) will chime in as well.