“show the world what they are capable OF”
How would you have re-worked it?
“Show the world what they can DO.”
To use the preposition is its grammatically correct position would be somewhat awkward, so it would be better just to re-word it.
I am not usually picky, but we ARE talking about an institution of “Higher learning”. That was the irony.
Is “doing” or “being” a preposition of with which I will not put?