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 defines the answer.

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

'it's' is the link.

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