Oh I get up at night with her and my wife will say so if it comes up in conversation. The monitor is on my side of the bed and I get up, change her diaper and bring her to my wife when she's hungry. MUCH easier to do that since a full belly tends to make her go right back to sleep so I take her and she goes back into her room where the crib is. I figure it only fair since I can't do the feedings. Was that way with our first too.
Parenting to us is a team effort and with my schedule I'm home 4-5 days a week (the advantages of working 24hr shifts) I'm there to help. I get more done on that schedule and am able to spend more quality time with my family that way than if I was to work 12 hr shifts or a 9-5 job *shudders* I subscribe to the "It takes two to make them, it takes two to raise them." train of thought.
The one thing I'm guilty of is in the middle of the night on the nights my wife works (she's an RN) and I'm home in my half awake state I tend to leave the recently used bottles in odd places. On the dresser, the night stand, the chair, the steps. I wish I was kidding. My wife can always tell how tired I am by where I leave the bottles.
I do get a lot done on my days off, sometimes its what took priority over other things is where the questions get raised.