I guess everybody could just go claim they object on the basis that it is haram. Make the government prove otherwise.
About 20 years later, these incidents worked their way though the courts and the IRS created a special religious exemption as a result.
By the mid-1970's (when people in large numbers first begin to realize that Social Security was nothing more than a pyramid scheme), hundreds of thousands of people begin applying for the same religious exemption. I was one of them. The IRS simply issued a ruling for a blanket denial unless the religious order was in effect and recognized at the time of the 1950's ruling.
I think the government still has a file on the rest of us who applied but were denied under that ruling.