Of course not, they only bind the Church. In fact, the anathemas were only put on Catholics. You had to be a "card carrying Catholic" in order to "qualify." Anathemas never applied to non-Catholics. Anathema was the most severe form of excommunication. Someone can't be "excommunicated" if they were never in communion with the Church in the first place. Also, the canonical penalty of Anathema was removed from Canon Law (Catholic Church law) in 1983. It is not in the Catechism.
So now we get to the issue of "What is a Catholic"? Is it a follower of Christ or a follower of Rome?
As a follower of Christ I consider myself a member of the Catholic Church as enunciated in the Nicean and Apostle creeds. Apparently some time after the declarations of those creeds fealty to the Bishop of Rome became the defining requirement for inclusion into the membership of the Roman Catholic Church, of which I am not a member. So do the anathemas only apply to members of the Roman Catholic Church?
Since I hold as gospel truth some of the doctrines declared to be Anathema by the Council of Trent, and I consider myself a Catholic as enunciated in the Nicean and Apostle creeds, am I now under some kind of official curse?