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Hello and welcome to the forums   

I'm not aware of many fractal generators that import obj files the way you intend to use them.

Some will work with them, either directly or indirectly  (via Height Maps or "Z Buffers" or whatever your particular 3D Program calls them).

JWildfire will make use of obj files in it's next version  (unless it's released already and I missed it!) and Mandelbulb3D can use Height Maps.

There are threads here for both, but I am doing several things at once right now and will look for them later if they don't turn up all by themselves.

I believe I heard that Incendia allows import of 3D Models, but never saw the feature so can't be certain.

Either way, if you wanted to just create many "instances" of your model, most 3D Programs have a feature for that called anything from "Clone" to "Duplicate" or even "Replicate."  Most offer ways to randomly distribute the copies, or influence where they go via a "Distribution Map" of some kind.

Without knowing more about what you mean by "turn it into a 3d fractal" I can't offer much more than that.

Good Luck with it!

Use a heightmap for extrusion.