Should an interdisciplinary researcher work twice as hard?
I collaborate with, and work on projects, involving human health, animal health, ecology, and the occasional bit of applied math.

Should I work four times as hard?

The simple answer is no. Because it's both impossible, and rather unlikely that you're even capable of that.

Instead, the answer is unfortunately that if you wish to be doing interdisciplinary research you should not be looking at those departments.

Because not all departments do this. Right now, my unit is hiring people working in health economics, and we've been very mindful to put their work in the appropriate context, including asking field experts what "counts" for them. We're doing similar things with other people we are hiring - for example, right now, we have representatives from at least three departments sitting on a committee for interdisciplinary hires.