I removed a few posts. We've got several posts on breaking in the engine, please keep this on topic of breaking in the tires.
I just got a set of new tires, and here is my experience/advise on breaking them in. Pretty much elaborating on what you said TekkaBlade...
The tires have mold release on them from the factory the tire was made at. Mold release is a greasy agent used to make the tire release from it's mold. Most of it is cleaned off, but some of it is still on the tire when you get it.
This isn't something to freak out about - you dont have motor oil on your tire, but I don't recomment going out and pushing the limits of your riding until you have some time on the tire. I started out by taking it easy; not babying it, but just calm casual riding. After about 20 miles of that I started pushing it a bit more in corners, but only in long, smooth corners. As more miles piled on I have started pushing it harder. I have over 150 miles on the tires now and they handle great, no slippage and anything oily in the tire is gone.
So I guess what I am saying is gradually start asking the tire for more - don't force it. While it probably isn't needed to wait more than a few miles of decent cornering, it's better to be cautious when your life/bike is at risk.