Some do indeed hold that Transubstantiation is logical, whilst others do not care to define it, which is nothing new. Many if not most Anglican Catholics, like the Eastern Orthodox, do not believe a scholastic approach necessary or even helpful. Thus, as an Anglican Catholic, I believe that the Real Presence of Christ in the Eucharist is a mystery of Divine provenance. Still, any Catholic Christian may believe the doctrine of Transubstantiation as a pious opinion, and even some Orthodox hold it as a pious opinion. But the Real Presence does not need to be defined in scholastic terms--it is a mystery.

I don't have time to read through the whole thread, but I am well aware of the Holy Father's offer to create personal ordinariates for traditional Anglicans. However, there are a number of problems, not least of which is the fact that Anglicans will be required to become Roman Catholics, and therefore it is not simply intercommunion or corporate reunion, but ultimately absorption, which for most Anglican Catholics is unacceptable. Nevertheless, unity is what Our Lord prayed for, and it is our duty as Christians to work toward unity. The biggest stumbling block is probably the dogma of papal infallibility, defined very late at the first Vatican Council.

Here is a link to an article about Roman Presidency from an Orthodox perspective. It's quite good.