I'll start by saying I have the Sigma 150-500mm. When I was looking it was a little cheaper than the Canon 100-400MKI, with close IQ and better stabilization.
If I could go back, I'd probably get the Canon. The only reason is size. The Canon will fit any of my bags that will take my 70-200mm f/2.8L IS. The 100-400MKI is shorter and slightly thicker than the 70-200 (the 100-400 is a little heavier too). If I had the Canon, I would almost definitely take it with me more frequently than the Sigma.
What you need to decide is portability or length your main concern. I doesn't make a difference what lens you have, if you are shooting wildlife (especially birds), there will be times (many) that you wish you had more length. The Sigma's 200mm more compared to the Canon (that's a lot).
For me now it is the portability. (Too late though unless I decide to sell, but I have other priorities before I worry about that switch.) Also keep in mind when I say portability I'm not talking weight, which I seldom care that much about. (6'2" 230 lift five days a week!) Portability is bags that are easy to carry the equipment around in - zooms that go to 500mm or 600mm are long.
If I had to do it from scratch now, I probably would get the Canon MKII. (I say probably because as I said 200mm more FL is a lot.)
I don't know how you feel about weight though. The 100-400MKII (or I) is significantly heavier than the 70-200mm f/4 IS. You might miss that.