The text explicitly says that vegetarian diets are not part of the solution. Either now, or under the system he proposes.
He's very clear that eating a fully vegetarian diet now is worse, footprint-wise, that eating a mildly omnivorous one.
He's also very clear that while eating a vegetarian diet under his proposed system would be just about possible, it is built around the assumption that most people will be eating meat, and that it would form a primary food source for the months of year when plant-based sources were scarce.