I recently just started watching Macross F without having watched any other macross (or indeed, any other mecha series) at all. I just read up on the wikipedia article to understand the basic condition of the universe and the origin of the name and such, and between that and the simple introductions they give at the beginning of the series, I think I understand quite enough. I know there are probably some specific references they are making that I am not getting or something, but it certainly isn't affecting my impression of the series (I am enjoying it by the way).
Later on, after all, if you watch the other series being mentioned here, you will just get all the references then and such, so what's the problem?
tl;dr, I say, Go for it!