Hmm, I dunno. I'd have to see if American JD holders face any difficulty getting jobs here in the UK to compare.
All I know is in Canada, the LLB is a postgrad qualification, but they are now changing to a JD system because American firms do not think the LLB is equivalent to a JD, and Canadian graduates are having difficulty getting jobs there. I don't think there is any serious "foreigner" bias against Canadians in the US.