It's a component of strict scrutiny, and is one component of the highest standard of Constitutional protection we have. Read the case law. Read Scalia's opinion in my previous post. Compelling MEANS compelling. It doesn't mean "I personally disagree," or anything remotely resembling that.
It's amazing to me that people who think that some of the same justices who just joined in the Hobby Lobby decision are a bunch of radical leftists.
Sorry, I’ve read enough decisions to know that compelling state interest is a dangerous sweeping term that typically sets leftist government desires above individual rights.