MILC or camcorder for ENG?
If you record speeches that are longer than 30 minutes, the 29m59s limitation of non-video cameras is going to drive you crazy, despite all the other wonderful things they can do.  Interviews can be broken up every 30 minutes.  Speeches not.

If you have ambitions to encompass art projects with your camera, the interchangeable lens feature of the SONY camera opens a world of possibilities (and and bottomless pit of budget requirements).  If you are really focused on ENG then the JVC packs an incredible punch in a single package.  Plus, small sensors are your friend for ENG because of deep depth of field.  It's incredibly annoying to have a speaker in front of a screen and the camera can only focus either on the speaker or their slides.

Based on the things you say you want to do, not the things you say you want, the JVC is the more sensible choice.