Father Barron also has a supplemental video on another channel of his that speaks about the mandate:
In addition to the videos, I have here in a handy link the letter that my diocese's bishop, Richard Lennon (Diocese of Cleveland), signed and sent out to all the parishes, as passed down by the U.S. bishops. This letter was (as most U.S. Catholics ought to know) read at all Catholic Masses in the United States this past Sunday (January 29th) and spoke about both what the Obama administration has imposed and what we as Catholics must do about it. I encourage you to read it several times: it's a wonderful letter, and it really rams home the fact that we Catholics, along with our fellow brethren in Christ and all other religious objectors, are facing up against a blatant attack on our religious liberty and right of conscience. We must do everything we can to prevent this mandate from taking effect.
Oh, and I have an article currently incoming that relates directly to the bishops' response to the HHS mandate. Expect it to be up in a few days - preferably by Saturday.