My brother who is ardently far right. Supports Israel, whole heartedly, irrespective of recent events. I am what most would describe as hard left. Initially we were BOTH on the side of Israel as it were. My position has changed, his has not. This isn't about sound bites. For me this is all about excessive retaliation and the asymmetric nature of this one sided conflict. I suspect deep down, my brother, like many far right berks, thinks, that if you give Israel enough rope, they will hang themselves, because normally, my brother has no love for the jewish nor judaism nor Islam, where as, I, am far more tolerant of religion, believe it or not. Of course, my brother is pro Christianity, especially Catholic Christianity and the catholic church, which he is a proud member of.
A confusing situation, more subtle and nuanced, than any simplistic left right binary narrative can frame.