Hi @Anonymous 

Changing the family template is not possible without starting over.

Is it not possible to solve your problem with changing the family category and parameters?

https://knowledge.autodesk.com/support/revit-products/learn-explore/caas/CloudHelp/cloudhelp/2014/ENU/Revit/files/GUID-68EFCA67-4913-4E00-AB9E-F2E6A7BEF8C6-htm.html

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