Well nobody here has been able to prove to your satisfaction. It seems pretty obvious that no anonymous discussion on an internet message board is going to change your mind since you have shown that even when logic and facts have been presented you just deny.
However those who support Marriage Equality have proven the validity of their arguments time and tijme again, the validity of the oppositions arguments have been rejected, time and time again.
They've been rejected in State courts in:
They've been rejected in Federal courts in:
The arguments against SSCM are also shown to be beginning to be rejected by "We the people" as the last 4 votes in the issue during General Elections has shown (with Marriage Equality supporters winning all 4 votes) which validates the trend data shown by such organizations as Gallup and Pew. Out, as a society, attitude of today is not the same as it was just a decade ago when States were getting Civil Marriage and Civil Unions banned.
** Yes California is listed twice as the arguments were rejected by State courts and the California Supreme Court and by Federal District court and the Federal 9th Circuit Court.