Why don't liberals and Democrats fully embrace atheism?

Absolute nonsense. I’ve been debating religion my whole life and for decades on these boards and elsewhere and this just is not true. It is a myth perpetuated by non-atheists. Non-atheists love to fantasize this is what most atheists (and loud atheists) profess, because it allows them to attack a strawman (as you have done in your post).

But actually, the overwhelming majority of atheists are of the first two types. Have you actually participated in debates on theism on these boards before? Because if you have (and given how long you have been here I find it hard to believe you haven’t) to not know this verges on highly willful blindness.