Should Apple sue Google directly by using Apple's patented Multi-touch OS?

I think if i invented some thing cool and some thing that will sell billions of dollars. I would do what Apple does and protects their products. And if Apple wants to "kill" Android which they do I think they should go for the dagger and make Google take off Multi-Touch of Android because if they do that people would go for Windows Phone or iPhone. What do you think. Because Google copies everyone even Facebook with (Google +). Comment please