Yes, implausible.
There is /no/ evidence that physiognomy or its cousin phrenology, the idea that scalp shape carries information, "work." I normally appreciate wikipedia's NPOV stance, but it's absurd that it takes two paragraphs to mention that it is universally (or almost, apparently) regarded as psuedo-science. I'm a neuroscience researcher, and I can't think of a single colleague who puts any credence in these ideas; in fact, I know several who use them as insults. As for the data, the hair-whorl things have been pretty aggressively debunked. The "gaydar" results were driven by individual choices in fashion, grooming, etc. I don't know if anyone has followed up on the hockey data, but...it doesn't matter, because of the second problem.
There's a giant leap between detecting actual criminals and people who look like members of groups that are, statistically more/less likely to be involved in crime. You just can't jump between group-level priors and individual predictions. This is especially true when some of the factors shouldn't legally or morally be used to make predictions.
Finally, think about how weird the biology would need to be for this to work. You'd need to have an underlying factor (genetic, presumably) that affects both facial structure and behavior. It would need to have a strong enough effect to reliably overcome all of the other factors that also determine someone's appearance and behavior. It's not totally impossible, but it's an extraordinary claim that would require extraordinary evidence and to date, no one has found much of anything.