Well this is just a guess here, but I think it would still look radically different from other Parliamentary systems. I could see the US basing it off of the British Style at the time we split (I honestly don't know how similar this is to what Congress looked like at the time) more than we already did but after that a US Parliament is going to undergo it's own changes and mutations over time. So it might make a huge impact or very little depending on how it develops.