Some people just are negative, no matter what you do. Those kind of people feel a need to target someone. If you'd leave, they would target someone else. It's not your fault, you deserve better.
You say that in your workplace there are vegetarians also? Do they get this kind of treatment aswell?
I have tried in the past to confront workplace bullying and honestly can't tell anything encouraging. Some people can't be reasoned with and atleast if it gets to a point where you are emotionally exhausted and deprsessed, or if they even get physically abusive, you can get out and quit your job inorder to protect yourself. Or then, when it gets to a point where you have been physically abused, you can also make it a lawsuit.
But still....Like people above said, confronting the bullies is a first step and who knows, maybe they'll listen. That would be beyond awesome and also rewarding and uplifting.
Maybe there have been a misunderstanding and they don't know that their jokes are hurtful? I can't tell... So therefore communication might be the key to this dilemma.
Trying to keep the feelings cool while talking to them and being direct but polite, would be one advice. If they want to tell their side, listen. If you are nervous, take deep breaths, it's completely normal to feel nervous so try not to worry about it. If your hands shake and your heart races there is a good change that no one else notices anything. And if you get the vegetarians with you they'll give their support.
If you feel like you can't face them you can send an e-mail, or a text message.
Personally, I don't handle mean people at workplace. I ignore them as much as possible. Ofcourse I do my job and am neutral with responding to them. I never sink down to their level. And I don't take their attitude and actions personally (because I'm not responsible), or atleast I try. I concentrate on my imagination, everything positive in my life and since I have been in a many different workplaces, I keep in mind those co-workers who were nice to me and easy to work with. I have also studied self-defence and meditation.
But that's not particularly an advice. It's an inefficient coping mechanism. I mean, if bad things happen at the workplace and it's a freaking 8 hours a day, that'll change you. Mean people make me physically and emotionally sick and currently I'm out of job so.... that's obviously not great. But I'm working on it. It's not that when you have some bad experiences you are going to automatically be unemployed for the rest of your life. And to some, entrepreneurship is better option.