I agree, that it is tyres that matter - after all the only thing between the car and the road is the tyres, but suspension, shocks, set-up (camber, castor, toe-in), brake bias, assistance systems (ABS, EBD, Brake Assist,etc) all have a degree of effect. For example the Impreza Electronic Brakeforce Distribution will take the rear tyres to locking point giving more control at the front. The Mercedes Brake Assist was great fun until they fixed it beacuse, on the theory that most drivers don't push the pedal hard enough, they decided to give extra brake boost when sharp braking was detected - unfortunately tailgating autobahn drivers soon discovered that a sharp dab of the brakes turned into an unintentional emergency stop. Simba got in before me on this.
Tyre wear also has a dramatic effect - there are so many variables, that in order to know how your car is going to react at any time under hard braking, you do need to try it out.
The scooby in question was an enthusiasts car, and there are many discussions about which is the best tyre on ScoobyNet. The results include a degree of personal opinion, but the conclusion is that only a few types of tyre (such as Goodyear Eagle F1 GDS03 or Toyo T1-R) are up to the challenge of taking an Impreza around the track. Wrong tyres on the wrong surface and you go off - the same applies on the road. The two above are summer road tyres and are very good in both wet and dry, but very, very bad in snow and ice.
There are some tyre reviews out there - "Which" does some quite regularly (although they are only visible to subscribers) and apparently Wheels magazine did some tests too - not online, but referenced here
http://www.aussiefrogs.com/forum/showthread.php?t=23777. The place for reviews if you don't mind it being about "tires" and not "tyres" is
http://www.tirerack.com/, as despite being a retailer, they do comprehensive tests on their own track, and then use that data for recommendations - incidentally the best lateral G in dry cornering is 0.94g, but then car set-up comes into play. Perhaps you could contact them - the test data is online, but by sub-category and test.
There is no ideal tyre - many countries (but not the UK) encourage the use of Winter Tyres with different compounds and tread patterns for when temperatures are lower (not Snow tyres or Studded tyres which are completely different things). Perhaps if they were used more the entire country wouldn't grind to a halt the moment the first snowflake appears?