It's always the patriarchal conquerors like the Ancient Romans or the Ancient Greeks that they idolize and never the people like, say, the Picts or the Celts or the Gaul that rebelled against the brutal Roman empire. It's never the Scottish or the Irish heroes who fought back against the British Empire that followed in Rome's footsteps. None of them probably even know who Boudica is.
Ironically, a lot of the stuff you could call "white culture" was burnt at the stake, banned, brutalized, and literally demonized by the Empires that chuds think are so civilized. A lot of pagan culture was lost to time, or warped by Roman 'scholars' for propaganda purposes. If they truly cared about their 'culture', then "Muh Christian trad wife' would be seen as killing the identity of pagan women, rather than an aspiration.
As a slight counterpoint, there are some reactionaries who obsess over historic European pagans (especially Norse but also Germanic and Celtic) for example nazis with their runes. However you do have a point overall, that these reactionaries tend to jerk off to the image of ancient Rome especially
Reminds me of this sign I saw at the Ren Faire.
Odin is the All-father, not the Some-father