Contrary to the implications of the posted comment1, I don't think there's any suggestion of "poor English" in using would rather than will in the first position within OP's cited context.
It's entirely a matter of stylistic choice whether they're seeking a solution that...
would ensure...
will ensure...
ensures...
It's also largely just a matter of style whether that the aim is that Iranˈs nuclear program...
would be exclusively peaceful.
will be exclusively peaceful.
...but it's probably fair to say is exclusively peaceful carries a stronger implication that Iran already has an ongoing nuclear program2 (the two "conditional/future" alternatives might be slightly more likely if no such program yet exists).
Having said that, an utterance which "stacks/cascades" two consecutive conditional or future tense verb forms might well be considered unnecessarily complex and therefore somewhat clumsy.
Most native speakers would probably prefer to use present tense for at least one of the two positions in OP's example. I've provided a link to the full context there, where I see no reason to take issue with any of the phrasing - it looks perfectly well written to me. The exact phrasing was probably hammered out over many hours of negotiation by many fluent speakers of English; repeated use of the conditional, which carries overtones of this is all somewhat provisional and speculative is quite natural in the context.
1 Both footnotes refer to comments on the later duplicate question, where this answer was first posted.
2 Or, as per StoneyB's comment, that the ongoing nuclear program is in fact "exclusively peaceful".