Your first delivery sounds rather similar to mine, and can I say that I actually had a dream that everyone saw my son first, but me? And that is pretty much how it played out in reality, only he was a preemie, so hubby held him, and the staff of course did for what was needed, but I did not get to see him until the next day when hubby convinced them to bring the baby to me (I was still in L&D on a drip). Everyone was able to see him thru the glass, tho.
I personally understand where you are coming from, believe me.
I would suggest that you tell your husband your thoughts ~ share it with him how you felt. He doesn't know this unless you tell him.
As far as family goes, in my book~ no one was able to hold my baby until they were scrubbed to my satisfaction anyway. I think due to not being able to have my son in my arms at birth, I was very 'stingy' with him later. It did cause some ripples in the family, but I honestly didn't care ~ he is my child, I carried him. (And sometimes hubby's family is just that way with me anyway. LOL!)
I feel if you explain your feelings to your husband, he should support you and tell the family to back off and come up later when you are stronger to see everyone. You appreciate their thoughts, of course, but this is what you and he need. It's your bonding time - not theirs.
IF that doesn't work - then tell the doctors beforehand. See if that will?
EDIT: oh, for my experience, my son was in SCU due to being early and he was monitored for his heart-rate and was also on a drip.
However... I was not the type of person were I wanted everyone there. It was nice that they came up, but I was actually offended when my mom and dad came by later and my mother took it upon herself to bring my estranged grandfather - someone I made it clear to that I have no feelings towards. You could easily read the emotion on my face as well. I was not too happy as she overstepped her boundaries.
Do what you need to, to make this a positive experience for you, your husband and your son (as he will be a big brother).