I am guilty of thinking that also. I own a 2006 GXP and a 2005 GT. My g/f has a 2006 (base model) which i thought was considered an SE (never knew it was Special edition). Ther are some vehicals that the base is called SE. I was just informed that i was wrong yasterday.
I have also totally debadged my GT. Mainly cause it had GXP door emblems and the V8 on the trunk. Was done by former owner. Now all shiny clean. I am leaving the GXP alone cause i may be trading it in on a new truck