So if an anthropologist applies for a position teaching statistics at a nursing college, should their job talk focus on their (non-statistical) research, or a lecture focused on statistics?

A presentation explaining how you approach teaching statistics, for this context and to this audience. Most students are terrified of #stats no matter how good at maths they are. The way you teach can keep them terrified, or help them relax enough to realise how simple (and powerful) the ideas are.