Briefly want right-wingers ruling state (9)
I believe the answer is:
wisconsin
'state' is the definition.
(Wisconsin is an example)
'briefly want right-wingers ruling' is the wordplay.
'briefly' means to remove the last letter.
'want' becomes 'wish' (wishing is a kind of wanting).
'right-wingers' becomes 'cons' (abbreviation for conservatives).
'ruling' becomes 'in' (the ruling party is voted 'in').
'wish' with its last letter taken off is 'wis'.
'wis'+'cons'+'in'='WISCONSIN'
(Other definitions for wisconsin that I've seen before include "State of north central US" , "US state, capital Madison" , "US state bordering Lakes Superior and Michigan" , "Northern state" , "American state, capital Madison" .)