Physicalism and the rejection of free will are both majority positions in Anglophone philosophy

Regarding physicalism, I don't entirely trust that survey.

Firstly, most of those who call themselves physicalists nevertheless think that qualia exist and are Deeply Mysterious, such that one cannot deduce a priori, from objective physical facts, that Alfred isn't a zombie or that Alfred and Bob aren't qualia-inverted with respect to each other.

Secondly, in very recent years - 90s into the new century - I think there's been a rising tide of antimaterialism. Erstwhile physicalists such as Jaegwon Kim have defected. Anthologies are published with names like "The Waning of Materialism".

As the survey itself tell us, only 16% accept or lean towards "zombies are inconceivable".

This is all consistent with my experience in internet debates, where it seems that most upcoming or wannabe philosophers who have any confident opinions on the matter are antimaterialists.