Oh not really. Republican and Democrat although somewhat different from each other are both much more right wing than most British political parties. And these change of course over the years.
The political landscape in the States is so different from Britain, inevitably reflecting the history of both nations. The big divide between the Southern States and the north has no parallel here, and the very individualistic viewpoint of the USA is special to that country.
I think it's hard for us to get a handle on the huge differences between each state and how the federal government works. And of course there i s the massive difference of a President who is elected, not by the party, but by the people and therefore separate from the legislature. The historical reasons were sound, but the impasse that this can lead to often makes American politics sclerotic.