I don't think a winter shutdown would be a bad idea in principle. However, two entire months off may be going over the top a bit.
One result of a shutdown might be more midweek games, which I'm sure we can all agree are wank.
If we were to have two months off in the winter, why not go the whole hog and have summer football (something else I'm not necessarily opposed to, and something Smiffy might have in the back of his mind.)