[It is a way to intellectually rationalize away truth.]
Yeah.  You have no understanding of those terms.  I'm curious.  Do you think suicide bombers (or pilots) do not believe they also know the "truth" or might refuse to blow themselves up if they "rationalized away the truth?"

[it was factually true during that period in history that the informed vote was white and male]
Source?

[You are comparing apples to oranges.]
In my opinion that's an example of rationalizing away the truth.

[mathematical probability would contradict the theory that uninformed voters could not influence an outcome.]
I believe I agreed with you that it was _possible_ but not significant.  Are you still belaboring the point bout possibility when  confronted with a refutation based upon significance, ie. erecting a straw man argument?

[voting has everything to do with the results or impact the issue will have on society.]
Again, source (a waste?).  Especially in a representative style of government we employ.