I remember seeing a report of a study in which a fake arm, cleverly manipulated within the subjects' fields of view, often succeeded in overriding both tactile and proprioceptive senses - some of the subjects thought the fake arm was their arm, because they saw it doing what they expected their own arm to do. As I recall, some subjects reported significant confusion and some discomfort on recognizing the actual nature of events, and I should think that's no wonder.

I don't have a cite to hand. I'll look for one if you like, but it's been so long that you'd probably be able to find it at least as quickly as I could. Fascinating stuff, in any case, and perhaps somewhat germane here.