It's the "militaristic" interpretation of religios texts taken without proper background or context of revelation to push one's political or any other agenda. I dare not to talk about other people's faiths, for I am not theologian or sociologist, or even my own without proper research. But let me use leyman's examples here. There are indeed Qur'an verses that about killing your enemies, and that seems harsh. But let's look someplace else, there are verses about being gentle to women, being just, always telling the truth... so it's a system that covers all the aspects of human life. War isn't something that doesn't happen, it's not encouraged, it's said even never to seek confrontation, but in the event of it, of course that you are going to be fierce in fight, you aren't letting someone walk all over you. So yes, war happens, and you are to show your teeth if your existence is endangered. Certain entities are using things like this to promote violence and killing of others, even of their own faith if they don't match their militaristic views. Take ISIS, most of their victims were Muslims that didn't share their views. For further explanation I suggest you check what scholars have to say about, I am not well versed in citing and interpreting sources, and also I don't want to make this a ideological battle.Define "far right" and please explain how much of the religious terrorism out there is "far right".
Thanks for asking, I hope I did shed SOME light at least.