There was a lot of code breaking that had nothing to do with Turing. The enigma was broken because some polish mathematicians showed up with pictures of the device and a method of deciphering it. And for comparison just about all of Japan's high level codes where broken by the US. So, while Turing was important, I suspect vary little would have changed if he had not been part of the decoding efforts. (Largely because you can't use information gained from decoding messages all that often or they notice and change the codes.)

And if a rather more brilliant and more important code breaker, Bill Tutte, had been recognised by Canada they would have a silicon valley now.