I'm still not sure I understand the point you're trying to make. But if you mean someone suggesting Modern Lybians are really Italians, I'd say that is pure nonsense. Italy did colonize Lybia and I'm sure that a certain amount of Italians may have settled there, but it would have been very small. Lybians still speak Arabic and Berber, not Italian. Their music and dance is still distinctly African, not Italian or European. For example the Kabyle dance has more in common with African dances you see in Congo than it does with anything anywher in Europe. Africans dance with shalking hips, not Europeans. Raks Sharki, Raks Baladi, Raks Chabbi all these North African dance styles belong to the same movement family with other African dances. Even if you look at Alaoui dance in Algeria and you look at the way they move the shulders, it is much closer to Eithiopian Eskista dance to anything you see in Italy or Europe.
I think people spend far too much time looking at skin color rather than culture and way of life. I think this tells the truth about who a people are and where they belong much more than people's idea of what they think an African should look like or who they are related to. The question is not IF North Africans are related to other Africans. The question is WHICH other Africans they are related to and how. Honestly, if we can accept people in the African diaspora who look just as white as Europeans, as being part of the African family, then why is it so hard to believe that people in North Africa who look the same are also part of the African family? Whether they look the way they do because of mixture or climactic adaptation or a combination of the two, there is much more about them that is distinctly African and very little about them that is European when you take into consideration, culture, geography, language etc.
They're (the pale-skinned ones) are foreign to the continent. They just appropriated the culture which was well established when "they" arrived there. Same thing with Arabic music, the "African" influence is substantial, since the Arabs themselves are an Africoid people. Focussing on culture alone is not a good idea. There are plenty of white americans who indulge in African/African-derived culture, but that doesn't mean that they themselves are African.