Well, I just read this post, but I'm not going to bother editing mine. The only real problems with your post is that a) copyright is indeed a firm of intellectual property, and b) you are treating trade secrets and IP as synonymous, when that is not the case. Trade secrets are ALWAYS intellectual property, but IP is not always trade secrets... make sense? If you substitute the word for trade secrets everywhere that you wrote IP in your original post, then it'd be largely correct.
The reason trade secrets are trade secrets is largely because copyright laws don't protect them (single recipes) or enforcing copyright would be a nightmare/too costly (manufacturing processes that evolve rapidly for example). So yeah, they are always intellectual property, but not all intellectual property is trade secrets.