Labour shortly to follow this US-style party? (4,6)

I believe the answer is:

baby shower

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'labour shortly to follow' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'us-style party?' is the wordplay.
'us style' becomes 'baby' (I can't explain this - if you can you should give a lot more credence to this answer).
'party?' becomes 'shower' (shower is a kind of party).
'baby'+'shower'='BABY SHOWER'

'this' is the link.

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I've seen this clue in The Guardian.

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