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...