Their review pretty much completely misses the mark. Nonetheless, it is a good illustration of how sincere-yet-perplexed professional evolutionary biologists view the data.
Computer methods of analyzing mutations are widely used because they are generally accurate. They do not suddenly lose their accuracy when I cite them.
A very common way to try to discredit an argument is to exaggerate it, ignore distinctions an author makes, and/or change carefully qualified claims into bizarre absolutes.