The big problem is that Cardinal Dolan (bless him) doesn't even bring up the topic of self-defense, or lawful gun-use, or any reasons why someone would want to have a gun, let alone present any counter arguments for them. Nor does he attempt to answer the objections he (briefly) says he has received. He seems simply to trust that the politicians know what they're doing and is ready to applaud anything that claims to achieve his desired end of less gun violence. Frankly, this indicates that his knowledge of the subject is limited entirely to his desire to see less violence. That's a laudable goal, but it means he probably shouldn't be speaking out on the subject at all.
E Vive Christus Rex!