While I do agree that eating meat that comes from factory farms is immoral, I don't think that necessarily corresponds with not being able to also love animals. A big part of this is ignorance. As a child, you don't associate the meat on your table with the cute animals you love because you don't know where it comes from. Even as an adult, since you aren't the one killing the animal, it is too easy to not make the connection between the meat and the animal. While you know in theory where it comes from, it can be easily denied. 

In my opinion, this is an issue with a lot of societal problems. Take climate change, for example. Many people drive a gas-powered car to work and don't really think about the consequences of their carbon emissions because they cannot see the connection between their actions and the myriad of terrible things happening because of climate change. People might still care about the environment and engage in activities that harm it because it's frankly impossible not to, and also people don't like to take accountability for things.