SJs are guided by their storage of impressions/experiences/data. Depending on the amount of exposure to ideas, we can then enter very seemingly unconventional routes but honestly they are perfectly natural.
If it makes you feel better...
I'm an ISFJ who is very interested in MBTI so it's not exactly impossible to get her interested in this sort of thing. (First assumption - specific situation)
Now if you were talking about having similar tastes in a more general sense, I don't see why not? In fact it'd probably be more interesting to hear it from a different perspective.
If it makes you feel any better. IXFJs have tertiary Ti which matches the INTPs dominant Ti. In this regard combined with the introversion, IXFJs can become extremely analytical and concerned about what is truth sort of like IXFPs Fi but explained in a sort of X leads to Y sort of fashion.
I'm more interested in psychology myself (doing the degree now) but I'm also intrigued by ethics (philosophy - not as much) - those are topics you'd probably be able to connect on as there is a human element to the entire thing.