united states - Getting faculty position in the US: after Postdoc in the US or Lecturer in the UK?

I am a postdoc in a US university (Rank A, edit: R1). I tried to get an academic faculty position in the US, but was unsuccessful. I got an offer (lecturer in the UK system) from the UK university (say, Rank B, edit: "new university"). Is it worth to accept the offer, and again try from the UK to get a faculty position in the US? Or I should try to get another postdoc in the US only? Would it be difficult to get the position once I move out from the US?

I have gone through In order to get a CS faculty position in the U.S, should I have a Ph.D. from an "American" university?, Is it more difficult to score a Tenure Track position in the US when applying from outside?, and What should a faculty member outside of the US do to move to a top-tiered American university?. But still not sure in my case.

One of the reasons of not short-listing is that I do not have a PhD from the US, (I thought). I got only two on-campus calls (from college/new univ. only) for the interview out of many.

Any suggestions? Thanks in advance!