I think the OP's dh needs to take out his earplugs and learn that broken nights are part and parcel of being a parent - not just part and parcel of being a mother!
I was a SAHM with each of mine, and dh commuted to London for a demanding job - but he still woke up in the night when our children woke up. When I was breastfeeding, he woke up and changed the baby's nappy, and when that failed, he would get the formula and warm it, and sometimes he'd feed the baby too.
He didn't enjoy the broken nights - who does - but he DID enjoy spending that time with the baby. And he went on getting up in the night with them - when they cried, when they were ill, when they wet the bed - he was up, sometimes just him, sometimes both of us (and sometimes just me - it was fair). He spent as much time as possible with the boys, and was good at looking after them. He would take all three out for days out on his own - and as a result of putting in the effort, he developed a good, close relationship with them, which has stood them all in good stead, especially during the turbulent teenage years!
Cealee - if you are looking for something to help insulate the breast pump, can I suggest cork mats? I have a dyson fan in my bedroom, and I run it all night, in hot weather - but when we first got it, although the motor is really quiet, the vibrations from it were transmitted through the floor and the bedframe and into the mattress, and I found that really annoying - it kept me awake. Our bedroom is carpeted, with decent underlay, and that didn't help! So I put a cork table mat under the base of the fan, and the vibrations that were keeping me awake stopped altogether.
Oh - and as another poster has said - keeping your phone under your pillow can be dangerous, if it is on charge - it can catch fire (one of the many things that ds3 does, that I worry about, is having his phone in bed).