Which one? Road bike or Cyclo-cross?

I'm looking to buy my first (serious) bike and being 18 1/2 stone and 6'4, would it make more sense to go for a cyclo-cross bike as opposed to a road bike, due to my size?
People tell me the cyclo-cross will be heavier, but really; as a relative beginner, am I going to notice a difference in performance? And others tell me the height of the cyclo-cross set up will be better suited to my height and that the wheels will be more capable of handling my weight. Any advice please, because I want to get this right.
thanks in advance.
People tell me the cyclo-cross will be heavier, but really; as a relative beginner, am I going to notice a difference in performance? And others tell me the height of the cyclo-cross set up will be better suited to my height and that the wheels will be more capable of handling my weight. Any advice please, because I want to get this right.
thanks in advance.
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I'd probably stay away from 600g Evos and RCAs but any well put together road bike with a decent set of robust wheels should be fine.