The easy one: You cannot use Divine as the Talent requires the Arcane Arcanum. In general the Talent also would require Battle Magi which restricts Cants. If that's not enough the Requirements on Arcimous Primus are "Arcane Spell Casting".
Now for Sorcerer-Priest and Primal. By a strict (campaign) reading of the rules, I would say 'no' since the special limitations for "Learn Fighting Style" are
Quote:
Special (Limitations): You may only utilize a Fighting Style’s stance when using that style’s chosen weapons or chosen weapon combinations. The benefits of a Fighting Style only apply while in that Fighting Style’s stance.
Given that the requirements are a combination of Weapon (Melee) and Arcane Spell Casting (Elder, Eldritch or Psionic), that would preclude using other Arcane sources with your Stance's benefits. Since you gain the Talent as part of the Fighting Style.
Now, a lose (home) reading of the rules would probably allow it. Since it doesn't say "While in this stand, you gain the Arcane Strike Martial Technique". However, I believe that's the Rules As Intended for all fighting styles.
John