The Catholic church,after Christianity had been around for more than a millennia ( as in several 100s of years more ),got into marrying people for the power and the money.But many nations were STILL involved with marriage,as sin recording them,etc.
Rabbis can still issue divorce decrees, but our government demands that secular ones must take precedent, as it does with Catholic annulments.
Your idea is based solely upon your own ideas, with no basis in historical fact,which is something else you need to consider.And religious bodies ( churches,temples,mosques, Wiccan groves/circles have NO incentive, whatsoever,to go against prevailing laws of the land.
The last time the " church " had the kind of power you're alluding to, was before the Protestant Reformation.