There is, of course, no clause in the Constitution requiring the federal government to treat everyone equally. What the Supreme Court has been doing, since WWII, is "interpreting" the Due Process Clause of the Fifth Amendment as if that clause requires equal treatment of the laws. That "interpretation" is, as Prof. John Hart Ely said in a famous 1980 book, "gibberish both syntactically and historically." (See "Democracy and Distrust," by Ely, page 32.)
All of the Justices subscribe to this misinterpretation, probably because there aren't any lawyers brave enough to try to argue to the Court that it needs to re-examine this doctrine.
People like you are why we need to pass the Equal Rights Amendment. Of course "pro-lifers who are only pro-life because we are so concerned with the fetus but support equal rights" won't support it.