eeThe XE-1 is an extremely cost effective way to enjoy the quality of the XF lenses in a compact format. The XE-1 signal-to-noise ratio and DR is at least as good as
The D700s I owned.
On the XE-1 continuous focus just means the AF is always on. It does not track automatically. It does not refocus in-between exposures during bursts.
You have to keep the focus-region box on the focus subject and you have to hope that if the focus object happens to move near another object with higher contrast, the AF doesn't jump to the higher contrast object.
Based on my experience with the X100 and X-Pro 1, I would say the XE-1 continuos focus mode is not useful. And, it significantly reduces battery life.
I am a bit puzzled about your comment that the XT-1 overexposes. Exposure is the responsibility of the photographer, not the camera or metering system.
If you use shutter or aperture priority you can just set the EC dial to achieve the same results as the XE-1. In manual mode you can do the same thing by watching the meter.
It is true raw images from the X100S, XE-2 nd XT-1 with XTrans II sensor can recover more highlights than the original XTrans bodies. However the second generation cameras' data stream seems to compress the shadows more. In any case raw or JPEGS from both generations can be manipulated to achieve whatever luminance response you need. I use different selective luminance parameters (Highlight, White, Shadow and Black) for the XT-1 raw compared to the X-Pro 1 raw.
I often must take photos outdoors where the scene's DR exceeds the DR of any digital camera. With the XT-1 I bracket raw exposures in 1/3 stops and pick one where the blue channel is clipped the least. Then I improve the sky color using the Hue and Luminosity controls in LR. Sometimes the Gradient Tool works well too. I also hold a 66 X 100 mm 3X graduated ND filter over the the lens (the camera's on a tripod of course). I slide the filter up and down until the filter gradient matched the scene. But using a grad ND is not required because the XT0-1 overexposes. People have used these for decades.