Whenever I read the original novels, I always imagine the jihad to be a fairly benign if not peaceful exercise more akin to a protest than a war. Like if one day people started rolling across the world smashing data centers and laptops.
I was fairly surprised when his son wrote a novel that felt like a generic, bland robots run amok storyline that happened, more or less, because one guy/titan "ruined a good thing" by telling his AI to run in permissionless mode.
this is an interesting interpretation. i always imagined the jihad as being a violent struggle.
the other jihad in the first novel is that of the Fremen, which is described as being unspeakable violent, so I find it hard to imagine these to be different in that regard.