The biggest reason behind not keeping them in the same room isn't trust, it's cuddling.
Babies in their cribs are warm soft and snuggly. You shouldn't put pillows or blankets in a newborn's crib for fear of suffocation. Imagine what a well-meaning cat could accidentally do.
I would start retraining your cat now - close the bedroom door when you sleep. Ignore the meows to go in. Give extra attention in rooms other than your bedroom. Having a baby means very little sleep. You don't want a cat that won't stop meowing at the same time as a crying baby. You'll all go insane!
When the child is old enough to support itself (lift head, roll over, etc) it becomes less of a concern.