Right now, Intel and ARMs business are very much segregated. Each of the two is making steps into foreign country, but with relatively meager success.
To clarify: ARMs business is the embedded and booming smartphone market, Intel has the never-going-to-cease-to-exist high performance server and workstation market. The fate of the thing between, consumer and "office" PCs, is very much unknown.
Cloud-based data centers are beginning to adopt ARMs for power consumption reasons. If that trend picks up along with everyone using cloud providers, then I think even the high-end PC server business could start dying. Incidentally, this is a market where NVIDIA could begin to really cream Intel, a lot of scientific computing has already moved over to CUDA/Tesla (granted, there is a huge difference between scientific and enterprise applications). I don't see the same thing happening to workstations, however, difficult to move that work into the cloud.
To clarify: ARMs business is the embedded and booming smartphone market, Intel has the never-going-to-cease-to-exist high performance server and workstation market. The fate of the thing between, consumer and "office" PCs, is very much unknown.