I think my problem with your responses on this thread so far has been that you've taken various liberal positions, said "Obviously this a sacredness value, liberals say it's about harm but they are lying", and not justified this. Or else "Some people say they are utilitarians, but obviously they are lying and have sacredness and purity and authority values just like everyone else" and not justified that either.

For example, where exactly is this liberal sacredness around sexual autonomy? The place I see liberals really get worked up about this is tolerance of homosexuality, but the standard liberal mantra in this case, that it's okay because it "doesn't harm anyone", seems to me to be entirely correct - it's throwing out a conservative purity-based value in favor of a genuinely harm-based value. Liberals are pretty happy to oppose clear-cut cases of harm in sexual relations like rape or lying about STDs, not to mention that most of them oppose pedophilia and prostitution.

In order to demonstrate that liberal sexual values are sacredness rather than harm based, you'd need to point out some specific sexual practice that was harmless but which liberals still violently opposed (arranged marriage? Do liberals have a strong opinion on this?) or harmful but which liberals supported (maybe no-fault divorce? But this is far from universally-supported among liberals, it's far from clear that it's harmful, and I don't think most liberals who do support it refer to a principle of sexual autonomy or have the fervor that tends to characterize sacred values.)

Overall I think liberal support for sexual autonomy, insofar as it's a useful idea at all, to be mostly based around autonomy values (obviously), harm values (as the liberals themselves say), and maybe an overreaction to really disliking conservative values around things like homosexuality or sexual "prudery". I think you have further to go in demonstrating that there's really a strong foundation of sacredness there, although I understand if you don't want to turn this thread into a debate on sex mores.

I agree that certain liberal values are based on sacredness (diversity and anti-racism) or purity (environmentalism), although I have yet to hear any good argument that liberals explicitly value authority. But two examples, both of which are polluted with confounders (racism really is really harmful), hardly seem like enough to say they are just as interested in these values as conservatives and totally deceiving themselves when they say they aren't.

And I have the same objections to your comments on libertarians and utilitarians. Yeah, only a few percent of the population is either (although it's more in places where people are genuinely interested in philosophical and political issues and likely to think for themselves, and only about 20% of Americans self-identify as "liberal" anyway). But libertarians for example seem ruthlessly consistent in opposing government intervention into any area (except maybe defense and policing), and I have a higher opinion of utilitarians than you do. Once Peter Singer says he can't really see any problems with infanticide because it doesn't harm anyone, the hypothesis that he still is secretly trying to uphold sacredness values just as much as everyone else becomes pretty hard to support.

Similarly, not every case of hypocrisy is a case of secretly having sacredness or purity values. I don't fail at efficient charity because I secretly believe that inefficient charity is sacred. I fail at efficient charity because utilitarianism is really hard.