I think there's a difference between "taking a gender studies class" (on the journey to getting a degree in something more practical, just to get a little variety in there) is different than paying $70k for a graduate degree in Gender Studies.
If that's something that's important to someone, there's plenty of private colleges that I'm sure will still offer degrees in those programs. However, with regards to institutions that are funded in part by state level taxes, those are supposed to be something of an investment for everyone who's chipping in.
One can make a strong practical argument for saying we need nurses, we need teachers, we need engineers, we need doctors & lawyers, accountants, etc... It'd be a little harder to make similar justifications for someone who's graduating with a degree in a niche field with a sub-par job placement rate that doesn't really offer any sort of public good.
And given the subject matter taught in some of those courses, I can understand why conservative parents in Florida may not be crazy about funding those programs. From their perspective, it's "I'm paying money, involuntarily, to help fund programs that are teaching the next generation that I'm terrible"
And the same would be true for the inverse... if there were California publicly funded colleges teaching courses in "Traditional Marriage Studies" or courses glorifying Supply-side economics, I would totally understand why liberal parents in California would object to having to chip in for that.