The interdisciplinary degree does differ from other liberal degrees. It requires less expertise in one particular discipline . . . less depth. This is a potential problem in marketing yourself. You may have to fight the devaluation of your education as just a general degree . First, there are links between certain fields and certain disciplines.
Some jobs simply favor some disciplines because the work is closely related to the study.
For example, an extensive history background and curating a history museum definitely connect. Taking history courses as part of an interdisciplinary curriculum often may not be viewed as an adequate equalizer. Second, others may simply worry that your learning has been too shallow . Deep and systematic knowledge in one discipline may be associated, in the views of some employers, with the ability to master deep and systematic knowledge in career fields down the road. That concern is not necessarily pervasive among those that hire from the liberal disciplines, but you should still be proactive in countering it.