You say...
”Captain Marvel takes places in 1995, two years after the ban on women combat fighters was lifted and the first female combat pilot Martha McSally (R-Ariz.) flew a mission in ’95"

You evidently failed to notice that she was flying 6 years before her return to earth in 1995, and the part of the movie you are…

Jill isn’t anti-vax
She is anti-Cooperation’s running the oversight of it.
Do you want BP and Exxon setting the standards for oil?
She just wants a neutral conducting the safety tests.
She is a Doctor and very much Pro-Vax