There is a significant overlap between people who believe in food stamps/free school lunch/etc. and people who are vegan or vegetarian.

Have you considered helping out with or starting a “food not bombs” in your area? From their site:

Our food is vegan or vegetarian and free to anyone without restriction, rich or poor, stoned or sober. First, the potential for problems with food spoilage are greatly reduced when dealing strictly with plant based foods. Second, we want our food to reflect our dedication to nonviolence and that included violence against all beings including animals. We only prepare food which is strictly from plant sources so people will always know and trust Food Not Bombs that our food is safe and nonviolent. At times, we do get donations of dairy and meat products which might and redirect it to soup kitchens that aren’t vegetarian because we believe eating is more important than being politically pure; however, we NEVER cook with animal products ourselves and only share breads that might have dairy when it is not possible to know for sure.

I think you misread it - 71% said drive. 29% is still pretty bad, but it is kind of a “who is buried in grants tomb” question.