There's no need.
Even with a very power hungry CPU you wouldn't have issues. The GTX1070 likely won't hit 200W usage, and the rest of the system is likely under 200W.
Give the CPU if you want, and whether it's overclocked or not (the rest doesn't matter too much) but it's not really an issue.
Update:
That TIER list doesn't seem to conform much to reality in terms of power supply failure. The CX600M seems to do quite well with customer feedback, and reviews vary though you get ones like THIS:
http://www.guru3d.com/articles_pages/corsair_cx600m_psu_review,8.html
"Again, stability wise we have very little to complain about..."
and
http://www.kitguru.net/components/power-supplies/zardon/corsair-builder-series-modular-cx600m-psu-review/7/
"The unit didn’t exhibit any glaring technical faults which could cause a reservation – there are actually no concerns and performance throughout all our testing was certainly commendable."
So... what's the big deal?
From what I can tell one of the main issues is delivering stable power nearer to 100% load which you won't be doing anyway with a single GTX1070.