I suggested that, too, but apparently today they frown (rather fiercely) on giving baby anything other than milk/formula before 6 months of age. (It's a wonder we're not all dead, eh?)
And the way I figure it..... that doctor that is frowning so fiercely isn't the one sitting up all not loosing sleep and wanting to pull their hair out..lol
I fed both of mine cereal before the age of 3 months. They were hungry and the formula wasn't enough. Mine also slept with me....
The one thing I have learned about babies, is there is no amount of baby books/info on the market that can tell you how to raise your child, babies don't come into this world pre-programed, and they don't agree to being scheduled, they set the schedule.