I do disagree with your last sentence, a lot of Portuguese are proud of their north-african connections. Most families come from "newly-christians" after all (and you gotta blame Spain's Phillips for that one).
At least be coherent.
I know this cause I'm one, and I'm Portuguese.
Not every Pereira or Coelho is descendent of new Christians. Some sure, but definitely not all.
I was honestly mostly thinking about Spain and added Portugal assuming they would be the same from the perspective of identity. I stand corrected.