I have no EQ. I have a decent IQ (not high or anything but enough to get me by). It depends on what kind of life you want to live, as to which is more preferable.

For example: I used to just do the "societal expectations" thing. I worked, slept, ate, work, slept, ate. I was DAMN good at my job. I earnt a LOT of money. I had a good reputation. I had every material thing one needs in life. People did not bother me because they were insignificant to me. My IQ was sufficient for that kind of life and it served me well. EQ was not required whatsoever. A high IQ person in this sort of life would be a millionaire.

However if you were religious or into art or are a musician or something like that, an EQ would be much better for you and IQ becomes unnecessary. All these things require an emotional component. You do your art/spirituality/whatever and you can hire others to do the IQ stuff for you. You go really well in your interests. Same goes for highly social people. If you are into these things then an EQ would get you MUCH farther than an IQ could ever hope to do. If you had a high EQ you would be a millionaire in this group.

If I was able to choose I would choose the IQ route again I think. I am not interested in anything that requires an EQ so for me it is still unnecessary. However right now I am borked because I have an ok IQ but 20 years of psych meds have killed my cognitive skills totally. And as we all know, even if you have a super high IQ, if you have no cognitive ability then the IQ is useless.