Nope, this isn't nuts at all- its the way I learned to roleplay, and the way I have run my campaign for the last 10 years.
The stats are a way to describe your character when you have to have a quantifiable way of knowing how good he is at something. Most of the time during a session, the stats aren't even really relevant (besides knowing my guy is a quick, witty, and likeable rogue for example). In fact, in the games I run, the PCs know their prime ability scores, class, level, roughly how many ranks they have in each skill, which feats they have, and number of types of spells they have (if any)- but thats it. They do not know their AC, hit points, magic item plusses, etc. I have found that it leads to MUCH more in-depth and interesting roleplaying when the numbers are kept to a minimum. And under NO circumstances are players to speak in meta-game jargon- this rule was actually made by one of the players and everyone agreed to it.
In my experience, a character who knows all his stats and those of his companions will make silly/unwise decisions much more often than someone who doesn't have that same info due to meta-game knowledge. I say give it a shot for a while- its much more enjoyable this way.