They do not take the core values. In fact, they avoid the core values, and take the intermediary ones without the core. That's a big part of why they're such a hot mess.
I was originally going to use "virtues" instead of values, but obviously their quality aren't listed among the seven heavenly virtues. Though, per
@ShieldWife comment, both humility and credulity
are, slight difference between credulity and being non-judgemental, but I think the latter is a very modern value.
Overall, I agree. However, I would say that the core of any religion is the reliance on a higher power to justify their a-priories. For any question you can always ask "why", "why is it wrong to kill?" which leads to a further question of "why" to that answer till you get a an answer that has nothing further supporting it. In a religious context, this boils down to "god says so", which is effective as it offloads responsibility on another party, but in a secular society that answer cannot exist. Worse, any culture that believes in
justice, that actions ought to have consequences that are
fair, is inherently basing their world view on a relgious framework. This is because there is no such thing as
deserve in nature, only the consequence of cause and effect. So, groups like social
justice warriors that do not believe a higher power end up with statements and questions that utterly lack any kind of a-priori basis.