Let us say that when the new job descriptions are posted and they are crafted in such a way as to get rid of a protected employee?
Despite your use of a question mark, this sentence is not actually a question. If you intended a question, I cannot discern what you intended to ask. I also don't know what you mean by "a protected employee."
Would that constitute discrimination?
I have no idea for the reasons noted above.
Is "reorganization" basically just a legal way to get rid of a minority?
I can't tell if you're asking a general question about what "reorganization" means or if you're asking a question specific to your employer. Needless to say, folks on a message board have no way of knowing what your employer intends. Equally as obvious, a "reorganization" may be completely benign or it could used for a discriminatory purpose.
Let us say that the minority has not given them any cause and is qualified for the current job description. And they then reword that description just specifically to make this person "unqualified" when he tries to reapply for his position? Is that descrimination?
I don't really know what you've got in mind here. However, if the employer takes some action that results in the termination of an employe solely on account of the employee's race/ethnicity/national origin, that would be illegal.
If there are only two minorities out of the 35, and the only one that was not rehired was a minority, does that create grounds for a claim of racial discrimination?
I think my answer above answers this question. However, this question suggests that you think that anytime anything bad happens to a "minority" (whatever exactly that means), it constitutes racial discrimination. I can only say that, if you do believe that, it is an objectively absurd belief.