Sorry that happened.
NICU people is harrrddd people man. Hard like people in the 'hood. Hard like people who saw combat. The death rate is high, and it's tiny babbies, the thing they love.
The field as a whole can be ruthless on matters like this, and NICU is the most ruthless of them all.
I doubt you can sue them, I'm sure this is something where the t's are crossed and the i's dotted. Why do you think there were X of their people in the room? Witnesses. Ever have more than one person in the room hospital-wise, they're up to something where a witness is needed for legal protections, protip.
Anyway I would well be tempted to be ruthlessly passive aggressive to the related staff "oh are you having more police again today? Could you stop calling the police and perform medicine?" etc. But an actual clever thing to do here is call what's called "patient visitor relations" or similar where that depts job is to make sure everyone is getting along with everybody. If you voice your concerns to them (even now after the fact!) they might be able to get some people to say sorry (which "saying sorry" is a legal thing as in they never say "sorry I made a mistake" rather "sorry to see this strange set of circumstances occurred which were maybe, maybe not, my mistake").
Yea, lawyers ruined medicine