Place broccoli in a steamer over 1 inch of boiling water, and cover. Cook until tender but still firm, about 4 to 6 minutes; drain.
Melt butter in a large saucepan over medium heat. Stir in salt, flour, and milk. Cook, stirring constantly, until thick and bubbly. Stir in cream cheese until melted. Remove from heat, and stir in broccoli.
Sprinkle 1/2 cup of crushed crackers over the bottom of a 1 1/2 quart casserole dish. Slowly pour the broccoli mixture into the dish, and top with remaining crushed crackers.
