Firstly, I hope that Living in Exile had no trouble with his test.
Secondly, as no one has stepped forward, I shall have to think about the implications. One issue is that both Darwin and Mendel were quite intelligent. Thus it is possible that a collaboration, even at a distance by letter, might generate some surprising ideas.
Darwin believed that evolution was a natural process without some predetermined direction or end point. Had he received Mendel's article in 1866 when it was published (we only know that it was amongst his papers unread at his death) and immediately read and understood it, it seems very likely that he would have both replied to Mendel and drawn the attention of other biologists to Mendel's discovery.
Would either of them have made the further jump to the idea that what was selected by evolution was the gene? If they had, would it have distanced Darwin from the idea of “the survival of the fittest” and replaced it with some idea such as the selfish gene?
Might that have removed some of the pseudo-scientific gloss from Social Darwinism? As the effects of such ideas were mostly seen in the Twentieth Century, perhaps this has been placed in the correct forum after all.