Sorry, I just do not get it, why does eating meat preclude you from also eating meals which do not include meat and why are these meals considered odd?
I am an omnivore I eat a wide range of different foods and put them together in a wide variation of ways. I regularly eat meals that contain meat, fish and dairy products. I also regularly eat meals based entirely based on vegetables, beans, nuts etc etc.
My solution if I have people for a meal with different food eating patterns is a cold buffet or pick and mix meal, like a curry, or pasta and a selection of sauces, one of which would contain meat, for those who eat it.
I do not think any one set of foods or eating patterns is any better or taster than any other. There are thousands, possible tens of thousands of different animals, insect, vegetables, fruit and grains and other feedstuffs in this world. All of us eat only a limited selection of these and what we eat is governed by culture, availability, taste and principle.
I find all this poncing around by people choosing different eating patterns and thinking this represents some form of virtue in them, whether vegan, vegetarian or carnivore, quite ridiculous. We all have guilding principles that govern how we eat. I try and eat environmentally and there are a list of foodstuffs that I avoid when eating in restaurants, unless I know their provenance. To which my response to myself, as to others, is, so what.