This is an interesting question because as you find people defending him, you have to consider your sources (mostly English teachers I am sure). As you, the author of the paper you are about to write, you might think about considering what is most important to be taught in schools.
As a previous student and current teacher, I have to be honest with you. I don't remember most of the books I read in high school, or the concepts that I learned. I am more of the written word type, so even though I took pre-calc, I don't think I could complete a problem out of that textbook completely. But, I do believe before going on to college, I received a strong foundation because I knew how to read, think, write, analyze, judge, study, memorize, apply, infer, take notes, learn from my cheating, and learn in general. Somehow that happened. Did Shakespeare study have a hand in that? I actually think so, and this is not my bias as an English teacher, so I think you should argue for.
I can remember each of the teachers who made me trudge through that text. I can remember frustration and confusion. As an educator, I now know that when learning is going to take place, it takes place immediately after a period of either or both of these two concepts. Think about the classes you take in high school, the easy ones are a waste of your time, you can teach yourself. The hard ones, these are the ones that make you stronger. Shakespeare is difficult. Keep him around.