I wasn't sure exactly what it was, but based on what I was told by Martini Racing, I believe that it was some sort of special built for them.  

The suspension appears to be stock Fiat Ritmo, except for the front strut tower brace (unknown brand; no ID anywhere, but it is almost an inch thick) and the fact it has a lower front anti-roll bar that is 3/4 inch thick!   No Abarth cast into the suspension components anywhere.  The wheels have the word Lancia cast into the rim.

As I said earlier, it seems extremely quick for a stock 1585cc twin cam.    As I said earlier, I haven't taken the motor apart to determine actual bore or compression, or to check the cam profiles.  The carb is the pretty standard 32/34 Weber, but with a progressive mechanical secondary (both barrels do not open at the same time).  It also has a hand choke.  

On most Series 2 cars that I have seen, there is a slight indentation in the middle of the grille for a Fiat badge, and this car has no indentation??!!

I'm not sure if the nose with the fog lights first appeared on Series 2 or Series 3 cars.  

The bottom line for me is that the car is a lot of fun.  There are few vintage 4 seat convertibles round today of any Italian marque, other than things like Ferrari Mondials.  

The paint and stripes seem to be original to the car.  I agree that the badging may not be original, but it appears they have been on the car for a very long time.  

Because no one seems to know for sure erxactly what This car is, I would have no problem putting on a twin carb intake manifold and a pair of Weber 40DCOEs, if the 2 liter manifold would fit this car without modification.

I honestly don't know what my car really is.  Martini Racing said it's a real Abarth.   I would tend to calkl it a Fiat-Abarth rather than a pure Abarth.   Maybe when I take apart the motor when it needs a rebuild, I will have a much better idea of what they told me is true.   All I do know is that the car is a lot of fun, and that's whatis most important to me...

Not specifically, but the did say for use as promotional vehicles...

Probably had the drivers and some bimbos go to various venues and promote Martini and Rossi vermouth...