Well, I have a few thoughts. I am by no means an expert, so anyone can feel free to correct me.
The instruments, and instrument housing are completely wrong. The housing shape, while the correct style, is not quite the correct shape. I don't think that any of the TCs had wide fender arches (flares, wings, extensions). There is a "nurburgring" scipt on the dash. If this is supposed to be a real 850TC "nurburgring" model, then the car would a '62 or '63 model, and there should be no fender flares at all. The nurburgring models had a "swallow" on the front hood, and they had badges on the fenders on each side, just ahead of the doors. The whiskers are wrong for a nurburgring, and there should be a "fiat" script just above the Abarth emblem (over the horn opening). There should be a side marker light just aft of the headlight on each side, and horizonttal alloy side molding along the fenders and doors, starting just aft of the side marker lights. I believe that the later 850TCs also had parallelogram wipers. The rear view mirror is from a later 600, and can't be from circa 1962. The interior should be dead stock for a 62-ish car, but you can't tell from the photos.
The steering wheel looks correct, and the wheels look to be period correct Campagnolo, except the width might be wrong. A later 850TC would have a lot of chassis strengthening, as Jim mentioned. You might find that the rear wheel arches are widened inside the car and strengthened. You won't find any of this info. in a book, you have to look at a real Abarth to see how it was done.
And one of the most important clues - if this is supposed to be a genuine "nurburgring" model from around 62-63, then the doors should be suicide type, not the later rear opening ones. A few photos of the rear of the car would help, in particular the engine. I am pretty sure that all 600 sedan based Abarths have an Abarth number stamped into the left sidewall of the engine compartment. The early Abarths had the ID plate on the horizontal muffler shroud, not on the vertical firewall..
I echo what J.S. has said. There are MANY, MANY fakes out there!! This car just screams FAKE! I've yet to see even a good replica, either in photos, or in person. Because it is so hard to learn what is correct on an Abarth, most people simply don't know how to fake one correctly. You've got to do your homework. Buy, borrow or steal every book on Abarths you can find, and look at all the Abarths you can find in person, and educate yourself. My humble opinon is that is not a genuine Abarth. BTW, I have never heard of the "Stradale" designation you mention for these cars. It does not appear in any book I have ever read.