Gary: How happy are you with the AF-speed and AF-precision of the Fuji. You have the comparsion to the Olympus system.
With my D600 as well as with my D3 and my X100T I loose a lot of frames to bad focussing. With a friends Oly EM1 all frames are dead sharp, only sometimes the focus is on some object that came into the way or the background.
I think the Oly AF is slightly better than the Fuji, but not really significantly better.
Mostly, I shoot people doing stuff in an uncontrolled environment. Lots of movement and changing light. With the exception of sports, extreme action, I don't see a difference in my keeper-rate between my old Canon 1D's, Oly EM1's/EM5's and Fuji XT1's. The first generation Fuji's were AF dogs and in low light they just howled and the viewfinder smeared when focusing on even slow moving subjects. I think the Contrast AF for stationary subjects is spot on ... no in-camera micro adjustments required. 2nd generation mirrorless focus is extremely fast, on a stationary subject you won't see a difference between a EM1, XT1 or a D1/D4. But, (the big but), DSLR's are much better for shooting fast action especially fast action in low light. If I was working, say shooting a nighttime football game, with my XT1's and to the right was a photographer with a D4 and to my left a photog with a 1DX ... they'd outshoot me ... I'd get scooped ... after a couple games of getting outshot by the competition, I'd get fired. But if I was covering something slower moving ... like a fire or a concert ... no problem ... the Fuji would keep up with the 3x more expensive cameras. And, not that it really matters, but at the end of the day my poor-old-sore back would be less sore shooting mirrorless. I am much higher on the mirrorless action AF learning curve ... and I can successfully shoot sports with my mirrorless cameras. Shooting sports with a mirrorless is harder than a dSLR. You will have less keepers shooting mirrorless as opposed to shooting a dSLR. But I do fine as a hobbyist ...
The Fuji viewfinder is significantly better than the EM1. In very bright California sunshine, the dark shadows lose detail with the Oly viewfinder ... the Fuji shadows do not black out. Another plus to EVF is that they can be set to ramp up in dark conditions and they can be set to reflect your exposure ... often, especially when in a rush, I'll just adjust my settings to a good looking picture in the viewfinder and shoot away. I'll use the spot meter to fine tune the settings. The EVF in the XT1 is huge.
Sometime back, a friend's brother was killed when his doughnut shop was robbed. The local community pulled together and had a nighttime "Peace March" to protest the violence and to honor Andy. There was a news photog covering the event that eyed my hardware. We chatted, he worked for the LA Times, my former paper. He said he remember my name, (I doubt it as I left in the '80's). He was using 1D's but in parting he said that mirrorless is the future.
FUJIFILM X-T1 w/ Fujinon 50-140
ISO: 6400
Focal Length: 140mm (210mm in 35mm)
Aperture: f/2.8
Exposure Time: 1/60
FUJIFILM X-T1 w/ Fujinon 10-24
ISO: 6400
Focal Length: 10mm (15mm in 35mm)
Aperture: f/4
Exposure Time: 1/60
FUJIFILM X-T1 w/ Fujinon 50-140
ISO: 6400
Focal Length: 50mm (75mm in 35mm)
Aperture: f/2.8
Exposure Time: 1/60