William Oddie of The Catholic Herald has an engaging piece about the mutual interests of Catholicism and Islam.
It may be pretty much impossible to have discussions on doctrine, but we have common ground in combating secularism and the dictatorship of relativism.
Here is a quote from Mr. Oddie:
But [Islam] is not, in the end, open to Catholicism, which unlike Anglicanism is an essentially dogmatic religion (that’s why, in the end, ARCIC foundered; there is only a marker buoy to record where it sank). So, incidentally, is Islam, even if its dogmatic content is more difficult to determine. But both religions believe that they have been given the truth by God; and while we are about it, we don’t even believe in the same God, since one non-negotiable Islamic belief is a denial of the doctrine of the Trinity, along with the Incarnation, the Resurrection and much else besides.
If there is a doctrinal issue that must be clarified, it would be that of whether or not we pray to the same God. I know that there is a statement in a document of Vatican II about this which leaves open a positive response to that question. I am inclined to think otherwise.
Furthermore, I believe that there was a sort of common ground initiative some years ago at a UN confab in Cairo, concerning contraception.
But think about the obvious problems involved both in the decision to cooperate manifestly and deciding to not cooperate.