Windows 7 Pro x64 AF Photo version:   When I tried to use the Healing Brush on an image that had Perspective Live Filter applied on it, did nothing. Once I disabled the filter, I could retouch the image using the Healing Brush. After editing I re-enabled the Perspective Filter Layer.
If this is a desired behavior, then it should pop a warning when user tries to use an incompatible tool, or if it is a bug, I can only hope my post will be helpful enough so the issue can be fixed. I was working on the same document as in this post: