OPPS? Should that be "Oops"?
GoofOff is essentially pure acetone, you should try it somewhere inconsipuous as if your carpet is some hydrocarbon as opposed to wool, I wouldn't be surprised if it dissolved it too. Also, there'll be quite an odor if you use it on a patch that big. And it's highly flammable, use suitable precautions.
I've never had to do what you're facing, but I'd start with hot water or steam, applied via or through an old towel. I think it might soften the paint enough that much could be absorbed onto the towel, or brushed off with a stiff brush. You'll probably have to continue with another product, but often debulking the problem makes the ultimate solution easier.