Pretty sure this is the plot of Star Wars VII.
I'd imagine it's far easier to resist a mind trick than it is to trick someone. Also, I'm not sure if the whole 'clouded by the dark side' means that the Jedi were susceptible to 'Jedi mind tricks' from the dark side, seems like something else entirely to me.
As far as the force goes, it just seems intelligence is the primary factor to resistance, so the Vulcans would be immune fairly by default. On the other hand, some Jedis honestly don't seem even remotely intelligent (the prequels are trash), so if we're talking a sly cunning, well spoken, intelligent Vulcan versus an unintelligent Jedi, possibly, you can outthink a fool fairly easily, Jedi or not. However, I'd imagine even the most idiotic of Jedis would be immune to mind tricks from the force, so perhaps the force also might grant them resistance..?
So perhaps Vulcans could trick Jedi, or perhaps neither would win. Don't see Jedis tricking Vulcans. Killing on the other hand..no problem.
Not really super into either, sorry if I butchered some lore or something.