You don't need to eat plants.
look up rabbit starvartion for your convienience here's a link http://en.wikipedia.org/wiki/Rabbit_starvation
trust me more than half people on this site have more years of hunting and survival knowledge than you've been alive, but if you want to ignore their advice and charge headlong into the wilderness then be my guest, I'll give you at best 3-4 weeks before you end up dieing.
first off in a survival situation meat is a luxuary that you can't always be sure you'll have available (you have to hunt or trap the meat and there's always a chance that even if you find an animal it will escape before you can get it) even those with years of hunting experience ad using rifles with scopes and all the latest equipmet will tell you that there are days when they don't even get to bag a crow yet alone a couple of rabits.
eddible plants are the one resource that you can always be sure you'll have unless you're in the deep artic or desert.
speaking from went wrong) experience a few years ago I traveled around wales with just a small backpack, during that trip that lasted only a week I suffered hypoglycemia due to not getting enough food to match my excertion levels, food poisoning from a poorly cooked woodpidgion and lost over a stone in weight (14lb) among other things and I've been hunting, trapping and camping since as far back as I can remember.
believe me trying to survive in the wilds even in a friendly climate temprate like the UK is difficult, in a foregin climate with out native help it's near impossible in the long term.
so I suggest you take the advice that everyone here is offering you