No chance, Wow is truly a special MMO. Don't get me wrong I am really enjoying SWTOR and think its a great game but if I had to recommend one or the other to someone who was NEW to MMO's i would point them in WOW's direction.
SWTOR really dropped the ball when it came to the world design/layout. WOW still has that epic feel of freedom where you can go wherever you want when you want without that rat in a maze feel of SWTOR. This is truly the core of any MASSIVELY MULTIPLAYER game... Not story.
In my opinion SWTOR is a great alternative to those like myself who loved WOW but are just burned out on the game (after 4 years). As far as SWTOR overtaking WOW, No chance, Half the people that play this game within the first 2 months will go back to azeroth.