There is the potential for a good book on this topic, but that book would need to be handled by someone who has not fallen so much in lockstep with the conservative party line.
It was interesting (in a kind of infuriating way) how selective Christie was with what examples to use and what closely related things to omit. For example, lauding Brown v. Board of Education, and integration, without paying any attention to white flight from schools, attacks on school funding, and other problems that are right there. Eventually it makes sense, because his overall point is that racism is over, and problems that Black people have now are not related to civil rights. To hold to that theory, you need to be able to ignore a lot.
So then there are curiosities, like his defense of the rejection of affirmative action by Bill Cosby and Clarence Thomas, and his admiration for them, but it was written in 2010. Does the sexual abuse by Cosby and the literally financial selling out of Clarence Thomas change anything? (Probably not. A 2023 clip has Christie acknowledging the racism that still exists in the country, but nothing else seems to show any growth.)
There could be something to be found in the press ignoring of Ralph Nader referring to Barack Obama for "acting white", but making a big stir over Jesse Jackson doing it. However, if your contention is that pressure to maintain Black identity is the biggest problem, ignoring not only that racism remains (and remaining, means that no amount of attempts to conform to whiteness will be sufficiently accepted for anything other than tokenism), you cannot say anything helpful.
Christie believes that he was not offered jobs after graduating is because affirmative action devalued his degree, because other Black people got in who did not deserve it (unlike him), and so he was damaged. He never seems to consider that the racism that kept high achieving Black students out of those schools without affirmative action might have affected his ability to get hired.
Likewise, he looks at resumes with "Black-sounding" names being turned down as a sign that those names signal that the applicants were probably raised poor, and are therefore undesirable. So Black parents should give their kids white names, fooling prospective employers into thinking that these applicants were not affected by economic issues rooted in structural racism. Sounds like a plan.
This book is not the best argument for the academic rigor of Christie himself.
I will add that for a more insightful analysis of the conflicts between Booker T. Washington and W.E.B. DuBois, try Ibram X. Kendi.