There is plenty of research about it.Allright Mr. Facts, please show us a study that details exactly what percentage of incels are right-wing, what % is left-wing, and what % is Libertarian or apolitical.
I'll be waiting

Incels: The New Politics of Indifference
Continually posting online about their inadequacy, writing self-flagellating posts and ironizing one's misery, incels appear to have found pleasure in their pain.

Considering at it's core, the incel movement is a bunch of guys upset that women are no longer seen as subservient to men, it is explicitly an extreme conservative viewpoint, even if the occasional incel might also support a particular liberal concept.