Chair,
Even if they don't total your car, you should still get a new one. Those things are designed to behave in very specific, sequential ways when in a collision. There is no way they can possibly put it back together in such a way that it will function as designed in another collision.
Plus, look at the pic of the left front wheel... It looks like it's been shoved straight backwards by about a foot! You just can't do that without destroying the suspension and since it's front wheel drive, I bet it trashed the transmission and engine too.
In any case, don't let them repair that car and give it back to you. Total it out and buy something that hasn't been wrecked already. They're designed to self-destruct in collisions (that's how they get good safety ratings) so get another one that will work as designed.