Your post seems to suggest that there can be no valid Catholic marriage unless both parties are Catholic. This is not true. As long as the couple receive proper instruction and formation, as long as the proper dispensations are in order, and as long as the couple promise to live in accordance with Catholic teaching, be open to children, and raise their children as Catholics, a Catholic and a non-Catholic Christian may be validly, sacramentally married in the Catholic Church.
As well, there are no such things as "remarriage licenses." For couples looking to have their previously-invalid marriage made valid by the Church, if the couple have been legally married, as recognized by the civil authorities, there is nothing to be done at the civil level regarding their marriage. Civil marriage is a different matter from a valid, sacramental marriage.
sitetest
My remarriage license issued by the state of NJ would beg to differ. You could see you are incorrect with a basic google search.
http://www.state.nj.us/health/vital/marriage_apply.shtml
Look at the last paragraph on that page.
As I noted in my post, while this isn’t required technically by the Catholic church, in my experience the majority of monseigneurs in NJ press this preference to do the remarriage secular paperwork as part of your sacrament. I’ve no idea why.