How many amps does a conventional 12 volt car battery produce. And not
CCA's. What I want to know is if you were to connect an amp-meter to
the 12 volt battery, how many amps would it read.

Howdy acumen8,

You will need the free Adobe Acrobat Reader to view the PDF
document below.  If you do not have it, you can download it
from the Adobe website.
http://www.adobe.com/products/acrobat/readstep2.html

This Cedarville University PDF document states you should
read around 109 amps.
http://people.cedarville.edu/employee/gollmers/phys2120/images/phy28_41.pdf

"Starting at the battery and going clockwise gives [a] voltage
loop equation of:

I = 12V / (.1 Ohms + .01 Ohms) = 109A"

This Jesus College Students Union web page has it at 100 amps.
http://www-jcsu.jesus.cam.ac.uk/~rpc25/notes/physics/electricity/electricity.html

"A car battery is a series of 6 2V accumulators. These are made
out of plates of lead and lead sulphate, with an electrolyte of
concentrated sulphuric acid. The battery typically has a total
internal resistance of 0.01W. This very low internal resistance
allows, at just 12V, a current of up to 100A to be delivered to
the starter motor of the car to get it started."

Michael L. Weasner's website has some really good advice for
anyone thinking of trying such a procedure.
http://www.weasner.com/etx/techtips/etx60-70_ps.html

"Firstly, sticking an Ammeter directly across a power source is not
a good idea. This will in effect short-circuit the power supply and
could damage it permanently. Try it on a car battery and there will
be a big bang."

If you need any clarification, feel free to ask.


Search strategy:

Google search on: ammeter "car battery"
://www.google.com/search?q=ammeter+%22car+battery%22

Google search on: "car battery" amps Kirchoff
://www.google.com/search?q=%22car+battery%22+amps+Kirchoff

Looking Forward, denco-ga

The current (amperage) is a function of voltage and resistance.  Ohm's
Law says that voltage equals current times resistance (E=IR).  The
current, then, is inversely propotional to the resistance, since
I=E/R.  Both of the examples given in the official answer assumed that
the resistance of the ammeter would be about 0.1 ohms, leading to an
amperage of around 100 (we're rounding off a bit).  That is correct. 
But if the ammeter has a resitance of, say, 0.2 ohms, the current
would be around 50 amps.  The answer depends on what assumption you
make about the internal resistance of the ammeter.  Here's a page that
explains Ohm's Law more completely:
http://www.aikenamps.com/OhmsLaw.htm

As a practical matter, one wouldn't normally hook up an ammeter
directly to the battery to measure its amperage (a voltmeter to
measure its voltage, yes). An ammeter is usually in series between the
battery and a load of some sort, so it shows up much current is
actually being drawn.