Misunderstanding the Church-Turing thesis?
The fields of philosophy and CS apparently have different definitions/interpretations of the thesis. In CS, I believe it is standard/accepted to define the Church-Turing thesis as the article's "Misunderstandings" section's "Thesis M" (under the narrow/worldly view). However, the article claims that this is an incorrect definition of Church-Turing. So we simply disagree. (And let's try to avoid starting an argument with them about it ... pointless arguments are their forte, after all.)

The approach taken by philosophers is unfortunate, as the average layman is probably interested in the CS Church-Turing thesis, not the philosophy one espoused in the article. So they will cite the article while thinking it refers to our practical/reasonable definition, when it doesn't.

So my answers to your specific questions:


Yes, as far as I can tell.
I'd tell them that the article refers to a highly specialized philosophy-definition of Church-Turing. But regardless of what one calls the "true" Church-Turing thesis, the following thesis is almost universally believed among computer scientists: "Any usable machine of computation that can be built in this universe can be simulated by a Turing Machine".
If by hypercomputation you mean physically possible/realizable, then no, it's not taken seriously. But it is interesting to study hypercomputation models even if they cannot appear in the real world, and we do so all the time. For instance, we may consider a Turing Machine that has access to an oracle that solves the halting problem. This object is studied all the time in theory and is uncontroversial, but nobody believes that one can actually be built.