Also, you're not going to "run out of rubber" you're just going to discover that a wider tire means turning the bike requires more effort on your part to get teh bike to change direction.
AJ's right..refine your technique first. You're not leaning off the bike because the more you lean the cooler it looks, or the faster you'll go...using good body position is about keeping the tire actually off the edge as much as possible and more on the meaty contact patch. You want to use the minimum amount of lean to negotiate through the corner at the speed you've determined you want to use through that specific corner in question.
Rossi, Lorenzo, Marquez, Stoner....all the lean angle they use...they're just freaks of nature.