Parliament following party lines? It’s just a plaything for Trump's people (9)

I believe the answer is:

dollhouse

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'just a plaything for trump's people' is the definition.
I can't judge whether this definition defines the answer.

'parliament following party lines?' is the wordplay.
'parliament' becomes 'house' (the House of Commons).
'following' is a charade indicator (letters next to each other).
'party' becomes 'do' (do can informally mean a party).
'lines?' becomes 'll' (l is an abbreviation for line).
'do'+'ll'='doll'
'house' put after 'doll' is 'DOLLHOUSE'.

'it's' acts as a link.

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