What camera should I replace my iphone 6 with?

I been filming with my iphone 6 and go pro 3 and its time I replace my iphone 6 for something better. I love the stabilization of the iphone 6 video as i usually have no equipment and just freehand it. I hate shaky footage as i discard it. I filming moving objects, people, animals, cars etc. Sometimes i film concerts so low light is a must. I just want 1080p at 60fps that works well with macs. I want to be able to take pictures here and there too. My budget is around $700-$1000 for body+lens. I would go higher if it makes a big difference. I will pick best answer.

The Canon HF G30 would fit your purposes:
http://www.bhphotovideo.com/...order.html

Or for less money, the G20 would also work:
http://www.bhphotovideo.com/...F_G20.html