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One inescapable fact is that the extra weight of the diesel will cause it to brake more slowly than the petrol versions in an emergency situation, assuming the braking system is identical, even if the effect is small. There is also more energy in a crash at a given speed as a result of the extra weight (Newton's 2nd law: Force = mass x acceleration, or similarly mass x deceleration).
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Not convinced. Newtons second law is "net" Force, which takes into account all forces acting on a body. Extra frictional force due to the increased tyre footprint from the heavier weight would see the diesel stopping quicker, athough it would be very marginal