I think you want to create a completely different view but use all the same filters. If that's the case, just duplicate the worksheet, remove all pills from the columns shelf, row shelf, and Mark's card. All the filters should still be on the filter card but everything else would be clear.
Hope that helps.
That usually works to my knowledge, but sometimes appears odd formatting in the Viz might be retained and it seems to be easier to follow the procedure I outlined. Wish would easy copy with filters option when right clicking.