A US parlaiment

I've been wondering, would it be possible to have a parlaimentary system in the US in stead of the congressional system? Or would this have had the same opposition that a one house congress faced in the early stages of the nation?
 

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What about the whole fear of small states been dominated by the larger ones thing.
 
Pretty much the only way I could see that happening is the American Revolution failing, leading to independence as a Commonwealth nation decades down the road, much like Canada.
 
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