Lyndon Johnson actually said...

If race, skin color, religious beliefs, sex, or national origin prevent anyone from reaching the heights, then we have all wasted a human being.

Remarks on Equal Employment Opportunity in the Federal Government

03/16/1966

More Lyndon Johnson Quotes

I don't want to be charged with barring you from asking anything you want to.

This is the time for bridges to be built, not for antagonisms to be aroused.

We are watching the situation in Vietnam very closely.

I didn't think the speech was susceptible to that interpretation.