If you are prepared to run macros it is relatively easy.
If you PM me I could probably devise one for you.

Let me see, FOR LOOP, search for http - test for https and mailto: delete hyperlink. I don't see any major problems, you might have to run it on each file loaded into Word, but maybe even that can be worked around. Any hyperlinks you intended would have to be re-instated.
Le me know. I enjoy a challenge.