I've been there, done that, only I was the one falling asleep. For a few months after my 4th daughter was born we had moved and I didn't have my evening childcare service going. During that time my husband would tell me to lay down with the baby. He and the other girls didn't want to hear her cry during what we fondly referred to as her bewitching hour. All babies have a time of day they are tired and don't easily fall asleep. This is normal and you must choose how to handle it. You either get to listen to her cry or you get to be without your husband. There is no magic or easy answer. He is going to fall asleep if he lays down and he's developing a pattern.
More so than that, you are developing a very dangerous habit with your daughter. I know a lot of people don't believe in letting kids cry it out. But if you choose not to let her cry it out then you shouldn't complain when this child grows up feeling the world centers around her and you will be struggling still to get her down when she's 2 and 3 and on. It's not easy to undo the mistakes we make with our children.
We slept with our daughter from the moment she was born. We lived in a one level house last time so until she was 5 years old my husband and I slept in the same bed. But now that I'm running the 24 hour daycare in a house with 2 floors we don't even sleep on the same floor. I can't answer the door in the middle of the night, tired and risk carrying the kids down the steps and I won't sleep on a different floor as the daycare babies. So that's just another thing we have to deal with. It's all about choices in this life.
You do seem to be missing one fairly obvious thing. Some people would truly LOVE to spend that quality time alone LOL. I've gotten rather used to waking up early in the am and not having anyone around to bother me.
No one can tell you what to do. You need to decide as a couple. No matter what this time will pass. Our daughter does fall asleep by about 9 most nights now and she doesn't care if she's upstairs with him or downstairs with me. If my husband and I want time alone though, we would need to get a babysitter for the night.
Suzi