As commenter Chardal (ke-shmo kein hu) pointed out, the National-Religious Chanukah is a synthesis of the Chareidi and Zionist Chanukahs. In addition to the writings of R’ Kahane, with which I am not familiar but assume that Chardal is correct, this was written by R. Shlomo Aviner (and translated into English by my colleague and fellow Baltimorean [Go Ravens!] Rafi Blumberg). It sums this approach up pretty well.
I know I’m late, but I still have three to go!