In case of feud, one coach for club with two mugs? (4,4)

I believe the answer is:
face card
'club with two mugs?' is the definition.
The definition and answer can be both man-made objects as well as being singular nouns.
Perhaps they are linked in a way I don't understand?
'in case of feud one coach' is the wordplay.
'in' means one lot of letters goes inside another.
'case of' means to remove the middle letters (outsides of).
'one' becomes 'ace' (ace has a value of one in some card games).
'coach' becomes 'car' (as in a train coach or car).
'feud' with its centre taken out is 'fd'.
'ace'+'car'='acecar'
'fd' placed around 'acecar' is 'FACE-CARD'.
'for' acts as a link.
Can you help me to learn more?
(Other definitions for face card that I've seen before include "Queen or Jack, say?" , "not a joker" , "queen, perhaps" , "Knave, perhaps" , "Maybe knave" .)