The correct answers are, "Americans" for the first blank and "Religious people" for the second blank.
Many Americans favor allowing gays to serve in the military and many religious people oppose it.
Although there have always been people that oppose gays from serving in the military, like religious groups and other members of the society, there are increasing numbers that support the integration of gays into the United States armed forces. In recent years, many surveys have asked people their opinion on the issue and most favored them to openly participate in the military. Let's remember that President Bill Clinton put in place the policy "Don't Ask, Don't Tell" in 1994. But since that time, things have changed.
The other option of the question was "military people."