Of course there are many other factors to why baseball players demand so much money, but the teams have much more revenue coming in because of the size of the season and revenue sharing to draw from. Some teams spend the money, some put it in their pocket. The same could be said for NFL teams and NBA teams alike.
I don't think the NFL is going to alienate their fans like the NHL did during their lockout and lose a majority of their television contracts and young fan base. The NHL does put a better product on the ice now, but no one can watch it with most games being on Versus or OLN. The NHL has lost a fan base purely because they are no longer as accessible, the NFL will not lose that. But I digress.