Heat the olive oil in a large Dutch oven over high heat and add the ground pork, ground bison and ground chuck; using the back of a wooden spoon, break up the meat into small pieces and cook until well browned, 10 to 12 minutes.
Add the garlic, bell peppers, jalapeno, onion, chili powder, cumin, chipotle, cayenne, 1 teaspoon salt and 1 teaspoon pepper, and cook, stirring occasionally, until the vegetables soften, 6 to 8 minutes.
Stir in the tomato puree, crushed tomatoes and beer, bring to a boil, then reduce the heat and simmer for 1 hour, stirring occasionally. Stir in the kidney beans and cook for 10 more minutes. Serve hot.