Oh, I feel for you. This is still normal-- but it won't be for long! The next month will make such a difference-- maybe even in the next couple weeks. We coped by breastfeeding at 9:00, and me going to bed immediately afterwards in the nursery (we had a bed in there), but you could use a guest room with the monitor. DH gave a bottle at 12-1, then put the baby dowin in the nursery and went to bed himself. I would then get up with the baby at 3-4 (whenever he woke up), having gotten 5-6 hours of sleep. I'd nurse, and if I was lucky enough he'd go back to sleep for a couple more hours so I'd get 8 or so hours. Rob the would get up at 7-8 am, also having had 7-8 hours.
To help yourself along, make sure you are doing everything you can to promote good sleep. Do you have a sound machine, or a fan in the room (new research shows a fan is very good for helping to prevent SIDS)? Is he swaddled? Warm/cool enough? Dark enough? BInky? My son HATED sleeping in the room with us, and when we moved him to his crib it was like (ha ha) night and day. Maybe yours wants to be in your room, or out of it. You've just got to keep trying things until something works.
Oh, and he's not going to take more a feeding- they are still eating 8 times a day at that age. If they are nursing , it's more like 10-12 (goodness, I remember those days!). But you can make it easier on yourself at night by measuring out the formula into bottles and just not adding the water, which you can do upstairs at the sink. Saves some stumbling through the house!