What. A. Bombshell. Sorry for the low-content post; but it is no exaggeration to say that this "might be the theoretical computer science result of the decade". I'm dying to see how Babai managed to pull it off.
So even if there are issues with some aspect of the proof there is usually lots of interesting stuff that can be salvaged. The proof of Fermat's last theorem as originally given is an example. It was wrong, though it got patched later, but the original work was still very exciting I think.
[1] http://www3.cs.stonybrook.edu/~algorith/implement/nauty/impl...