Oh! Well yes, that is a different issue, and I’m sorry I went off on a tangent and wasted a perfectly good etiquette rant. 
But maybe I can recycle some of it. (First, Phil, I think your exclusive/inclusive identification is a little backward: food prepared according to the “strict” rules can be eaten by all three Jewish groups, which makes it more inclusive.) It still boils down to the fact that the host makes the rules but the host has an obligation to be considerate of the guests. This is still true, although from a more mercenary standpoint, in the case of a commercial eatery.
So the question is, who are the hosts in this case? Is this eatery an undertaking of united Hadassah groups or some other temple organizations, including the Orthodox? If the Orthodox shul is in any way involved in supporting this venture it certainly has a right to have a say in the menu.
If not, then the hosts can serve all the unkosher food they want. However, identifying this place as an eatery “for the Jewish community” in this case is indeed somewhat misleading, and in fact more than a little insulting. It’s tantamount to telling the Orthodox Jews that they’re not really part of the Jewish community.
Miss Manners does not look kindly on hosts who claim that they are equally welcoming and open towards all their guests while requiring some of the guests to violate their principles if they want to participate in the event they’re invited to. You don’t ask your strict Amish friends over to watch television, you don’t invite your Catholic friends for a steak dinner on a Friday in Lent, and you don’t request your Orthodox Jewish friends to eat treyf. If you want to host such an event, it’s not polite to claim that you’re holding it for the entire community that includes these people; if you really want everybody to be able to participate, you have to use your imagination to find a different focus for the event that doesn’t violate anyone’s principles, and/or provide some alternatives for the exceptions. (This is one of the reasons that most traditional social events have conversation as their central activity: nobody’s beliefs prohibit them from talking to other people, except maybe Trappist monks, who tend not to get out much anyway. :))
As I said, hosts can’t always accomodate all of their guests’ requirements, but for something like a private wedding or bar mitzvah the emphasis is supposed to be on the celebration of a joyful event with your selected friends, and not on what or how much food you can squeeze out of the hosts. But a dining establishment, commercial or otherwise, the stated purpose of whose whole existence is to serve food to Jewish people? No, if these hosts are never obeying strict kashrut laws then they are indeed not running an eatery for the Jewish community, they are running one for the Reformed and/or Conservative Jewish community.
That said, I personally would look kindly on some kind of compromise plan where strictly kosher food was served on some nights and more latitude allowed on others, if the kitchen can manage it. Diverse communities do have to make compromises, and saying “we have to do everything my way all the time because my requirements are more stringent” is not a very gracious attitude to take in dealing with others in one’s community, any more than “we’re not going to worry about your requirements because they’re too much bother” is.