Most of them, like most people in general, don't primarily identify as some loaded political identity. Out of the US members, three would likely satisfy the criteria you're thinking of: Jamal Greene is associated with the Federalist Society, Michael McConnell was appointed to a judgeship by Bush, and John Samples is a member of the Cato Institute.

The member from Pakistan has been running pakistan premier Digital Rights advocacy group:

https://twitter.com/nighatdad