> So actually, your remixed music you could play live, as a DJ.

No, you can't. You have to procure a license to DJ publicly. A Public Performance License is offered by most of the major music conglomerates, or you have to find a venue that has or will pay for such a license. Profiting off infringement worsens your situation legally, but any copying and distribution by any means of copyrighted material is illegal without a license.