The SCOTUS will find against Hobby Lobby. They’re simply a branch of government. Furthermore, the question of the limits of religious liberty was determined by the SCOTUS back in 1878.
https://en.wikipedia.org/wiki/Reynolds_v._United_States
They doubled down on it in 1890, also indicating how far a majority could go to deprive a minority of its rights.
That gets us to today.
The current situation is worse, and the precedent should not control the decision. LDS permitted polygamy, while FedGov mandated at most monogamy. Monogamy was not a direct violation of LDS doctrine. Many Catholic and evangelical Christians consider abortion to be morally a type of murder. Mandating that Hobby Lobby’s owners and other Christians pay for murder is very different from prohibiting an action that is religiously permitted but not religiously required, such as polygamy. [I hope.]
Fortunately, this is in the hands of Chief Justice Roberts. What could go wrong?