She is Semitic which is part white and part black.
You have based your whole argument on a supposition that you expect the readers to accept but have presented the supposition without any supporting argument. This is called "begging the question." Cleopatra's father was Ptolemy XII, her mother was Cleopatra VI Tryphaina.
Both of their bloodlines are Egyptian at least three generations and likely all the way back. It is highly, nay, extremely doubtful, bordering on "no effing way" that any outsider would in any way become a part of the official Pharoah bloodline. They were funny that way, even marrying brother to sister to ensure a pure line of succession (Cleopatra was married to her younger brother as one example of many).
Therefore your supposition that she was mostly of European stock is completely flawed and thus so is your argument. Egyptians, than and now, are quite dark-skinned. Cleopatra, being from a long line of pure-blooded aristocracy was most likely quite dark-skinned.
Whether she was what we would consider "black" by today's standards is an arguable point.
I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.