Bush has the memorable big 3 memes from the debates:

[EstimatedProphet]

Debate 1) Bush: "um, er, uh, hmm, eh, mmm..."
Debate 2) Bush: Wanna buy some wood on the internets?
Debate 3) Bush: <Pound> <drool> <pound> <drool>...

What was said and argued is going to be forgotten in a month. These are the things that the debates will be remembered for.

[Nicholas D Wolfwood]

1. I don't think everyone's going to forget everything

However, you're absolutely right that Bush's image of a petulent child will remain fresh in everyone's memory for a long while.

[EstimatedProphet]

2. I really do think it's going to be those 3 things

that people will remember about these debates, especially the first 2.
It's already started. Skits about Bush stumbling, webpages with the internets quote and "wanna buy some wood?", just wait. I think that's the stuff people will be thinking come election day.

[TheMightyFavog]

3. Hey!!!

Don't forget about Poland!

[EstimatedProphet]

4. You're right!

I FORGOT POLAND!
Also I fogot OSAMA!
A Corrected version of the memes:
Debate 1) "Um, er, well, uh, yeah, wait-YOU FORGOT POLAND!"
Debate 2) still: Wanna buy some wood on the internets?
Debate 3) <pound> <drool> "I didn't say that about OBL...oh...<drool> <pound>

Notice however, that ALL of the talking points that will have some lasting impression on the public-like "lockbox" from 2000-are all from Bush's mouth, and all are against him.