Is it possible to run a MacBook Pro 
http://store.apple.com/1-800-MY-APPLE/WebObjects/AppleStore.woa/71801/wo/kY1NE6JgYcLW2nEMxeT1ueBncR3/1.?p=0

with a Turion 64?
http://cgi.ebay.com/2-4GHz-L2-1MB-AMD-Turion-64-Mobile-Processor-ML-44_W0QQitemZ6845611241QQcategoryZ51162QQssPageNameZWDVWQQrdZ1QQcmdZViewItem

How?

NO. 

The MacBook Pro would be incompatible with this processor. Apple has
designed the entire architecture of this portable around the Intel Duo
processor, and because the AMD Turion runs at a higher voltage, as
well as uses a slightly different grounding design the socket on the
motherboard of the Macbook Pro would not handle the Turion correctly.
Even if installed the Macbook Pro would not be able to elimate the
heat produced by the Turion causing internal stress on the components
found in the Macbook.

The only possibilty that would truly be succesful for getting this
processor into the macbook pro, is eliminating all the internal
components shipped in the macbook pro and simple use it as a notebook
case and build a computer around the Turion processor to be housed
inside of it, this would be way to much of a hassle for the added
performance gained by AMD's notebook processor.

The new Intel Imacs have been found to accept different speed intel
duo processors. One can assume that the Macbook pros will be able to
handle a processor swap of this sort as well. (for instance you could
upgrade the 1.67 macbook pro intel duo chip to the 1.8 version) but in
answer to your question you cannot put the Turion in a macbook pro.

Sources used for information:
http://download.intel.com/design/mobile/datashts/30922101.pdf

http://www.amd.com/us-en/Processors/ProductInformation/0,,30_118_12651_12663,00.html

http://www.apple.com/intel/

Let me know if this answers your question

Thanks for the great answer Ted.  I'm a little disappointed that I
can't trick out my MacBook.  Still, it is pretty sweet without the
help.