Interestingly, parmesan cheese is traditionally made using rennet from the stomach lining of calves, so it's not vegetarian, but thanks to GMOs, most parmesan cheese in the US is vegetarian-friendly since the rennet can be produced in a lab without killing calves [1]. There are also plenty of startups using genetic engineering to make vegan/vegetarian alternative meats. So while there's certainly a lot of overlap between vegans and anti-GMO people, it seems like it's probably counterproductive to dismiss GMOs entirely if you actually care about animal welfare.
[1]: https://io9.gizmodo.com/you-can-thank-genetic-engineering-fo...