You raise a number of issues.
a) Low light performance
I can't quote 7DII data, but it is indicated that the 7DII sensor has similar performance to the 70D sensor for how ISO. If we accept this, the 5DIII will have one stop better performance in high ISO.
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© MakisM1 [SHARE LINK] THIS IS A LOW QUALITY PREVIEW. Please log in to see the good quality stuff. I shoot choral performances in low light. I often shoot the 60D at ISO6400 for the 'reach'. Very rarely I have to go above this. The 7DII should be good to 12800.
Another issue regarding low light is whether the camera will focus well in low light.
The limit I reached with the 60D was f2.8, 1/50, ISO 12800 where the EF70-200L MkII had difficulty achieving focus. This is pretty low light! The 7DII will surely focus in light lower than this. Possibly a faster (say f1.4) lens will help focusing a couple of stops lesser light.
b) Portraits
Other than the thinner DOF (which I don't use in portraits, normally I shoot f5.6) you get a somewhat different perspective for the framing. Different does not mean superior or inferior.
The 7DII is a sports camera first and foremost. It can shoot everything else well, but barring the 1Dx, no other Canon camera (especially FF) is set up to shoot action as well.
Now, if your main theme is low light performances (ballet, choral, club scene, concerts) the 5DIII will perform slightlly better, but again the 7DII will perform better than the 60D, and I use the 60D in low light a lot!
If the price difference is too much for you (is it that big? I hear the 5DIII has dropped to around $2k), go for the 7DII.