Binding C-i without losing <tab> functionality

[Joseph Peterson <jeepeterson@yahoo.com>]

Hello all,

I'm trying to bind C-i to isearch-forward, but I'm having some problems.  

It doesn't change anything when I do this or variations of this: 
  (global-set-key [?\C-i] 'isearch-forward)

Sometimes it seems like it will work, but it rebinds the tab key, too 
(I may be remembering when I bound TAB, though...)

If I bind both <tab> and C-i, then it seems that I can rebind C-i to be
different than <tab>. Like this:
  (global-set-key [tab] 'c-indent-command)
  (global-set-key [?\C-i] 'isearch-forward)

Then it seems to work, but then I lose all the mode-specific bindings. 
(Most annoying is the loss of mini-buffer completion). How do I bind 
C-i without affecting the Tab key?

Thanks all,
-JEEP
Joe Peterson