Title says all:
Is there some sort of script or template that showcase the pages featured in the "What links here" Tool and put them into the page's content?
Special pages is a little bit tricky to be included within page content
Just suggestion, why don't just provide link to that page
Something like
[[Special:WhatLinksHere/{{PAGENAME}}]]
Some special pages can indeed embed their output in a page. For example:
{{Special:WhatLinksHere/Harry Potter}}
or
{{Special:WhatLinksHere/{{FULLPAGENAME}}}}
It looks like a template but it's not exactly. It shows an up-to-date copy of the given special page with the given parameters.
What do you think?