My wife is in the hospital, and I think that the right thing to do is rush to her side.
If there's no problem, why not?
Yeah, I don't care about other people dying, but I care about my family.
That sounds good. You should be with your wife if there is an emergency and she needs the hospital.
I had to go get our separate car just to get there.
However you get there doesn't matter, as long as you are there with her is what matters. Couples can be heavily expected to be together if there is an emergency with one of them.