First, a "community advisor" is not a normal job title for a government employee. Instead, there are many universities that may hire people as community advisors, especially to work with foreign students. Also the term can be used for volunteers, such as volunteers who serve on the Boards of various community organizations, including quasi-governement ones. These are generally unpaid positions but they do have a formal role in their organizations.
I suspect that these people are either:
1) community advisors hired by a university that you attend and may have some responsibilities to check up on you that is required by the government (since you may receive some government educational benefits for your tuition and fees), or
2) community advisors which are volunteers and probably connected to a Christian organization but which may have some responsibilities for you mandated by the governement (if, for instance, their organization helped sponsor your visa or something similar). This category would also include volunteer community advisors that some universities may possibly use instead of hiring professional ones.
In any case, they probably don't work directly for the government (are not governement employees) but may have some government responsibilities that they are required to fulfill.
The use of "we love you" at the end of an e-mail would be very unusual for a group of government employees or even from a group of university employees. Hovever, if these are, in fact, volunteers from a Christian organization then that phrase makes sense.
Christian organizations teach that all people should "love one another", that all people are children of the same God and therefore brothers and sisters. So Christians try to express that idea by saying "we love you" to people that they really don't know that well. Probably these people knew you were far from your own family and close friends and were trying to make you feel not so lonely here. Of course, their approach was not well chosen and in fact made you feel uncomfortable, but I think their intention was to make you feel better, not worse.
It seems like a really nice thing that they are trying to do for you, to give you some people that are available to help you with questions and understanding American culture. But I think the whole idea of teaching someone "how to behave in America and what the culture is in America" is a little presumptuous. The fact is that there are MANY cultures in America because Americans come from every culture. And each person needs to decide for himself how to behave. There is not only one answer. People in America are free to decide how they want to behave. (There are a few behavior choices that might get you thrown into jail but even some of these may not necessarily be wrong, just illegal, and Americans have a long history of people willing to risk being thrown into jail to do what they believe is right.) So, these people deserve some respect for being willing to help you out, but in the end you need to make your own choices. Maybe you'll agree with what they suggest. Maybe you won't. Maybe you will on some things but not others.