It depends, though.
For our family: we try to eat ethically-raised and -slaughtered meat, which definitely drives up cost (note: we don't always succeed, but we aim for it - and we have just moved to the country and are doing some of our own animal-raising, with that goal in mind). Also, we're in Quebec, so even costs of conventional meat are higher (I've seen US sale flyers on Thanksgiving turkeys at 0.39/lb... our 'sale' is 1.50$/lb. Extrapolate as needed...) That said. If you're eating conventional meat: our local grocery store has pork shoulder on sale this week at 1.59/lb. In comparison, the tofu is priced at 2.50/lb. That grocery store also sells cans of beans at 2$. And this is the ONLY grocery store within a half-hour drive of our house. (Personal solution: when we go into the city, we stop by the restaurant supply store and buy dried beans at 10$/10kg bag. We have a huge pantry, we cook up the beans in bulk, and we freeze them in baggies for convenience. Takes work, though...).
Also, my old neighbors were the type of vegetarian that bought a lot of fake meats - like, fake tofu-based 'ground beef) for tacos, which was twice the cost of crumbling tofu and seasonings, and multiple times the cost of making bean tacos.
Eating vegetarian CAN save you money, but it depends on what you're eating and where you're buying it.
(And I'd estimate that your 1K/year on all-organic local meats is really low, unless you're eating meat once a week. Maybe 1.5K, assuming you're buying a few half-animals directly from the farmer and have a freezer that fits it... By the lb at the market, though? 100$/month gets you meat for MAYBE 2 dinners.)