"Caustic soda" is *not* industrially produced chlorine.  Rather, it is industrially produced sodium hydroxide (NaOH), AKA *lye.*  I think the confusion here lies with the fact that most chlorine (Cl2) is produced simultaneously (on the other end of the cell) via the chloralkai process (electrolysis reaction) from a saltwater solution (sodium chloride in water, ie - NaCL in H2O).  The chloralkali process is responsible for most of the world's production of caustic soda, which is a chemical that is invaluable for the production of many other chemicals.  Here's a great article - http://en.wikipedia.org/wiki/Sodium_hydroxide
However, I do like your appropriate labeling of soda pop as "caustic soda!"  What a great name for such an awful thing to put in your body (it's all terrible stuff - even the non-diet fructose and sucrose versions).

In your article you state that Sucralose is formed by combining three atoms of Chlorine with one "atom" of sucrose. I challenge you to find sucrose on the periodic table of elements! It's a molecule comprised of Carbon(12), Hydrogen(22), and Oxygen(11); 45 atoms in all. Since there is no such thing as a Sucrose atom, it can not be found in atomic form.

Here's a web site that illustrates the chemical composition of sugars:
http://waynesword.palomar.edu/chemid1.htm