for 1080p you don't need a GTX 1070. a rx 480 or GTX 1060 are perfect for 1080p. Take one of those and then you can take a i5 6600k cpu.

I think a i3 6100 / GTX 1070 would be out of balance.

if you want a 1070, then a 6400 might be the better choice at this price point.

a 1060 + a 6600K $520 plus a CPU cooler, and is also out of balance in that the CPU is more than what the Graphics card needs.

a 1070 + a 6400 is $585. I think the 6400 is a little weak for a 1070. Spend $15 more for a 6500 and it will be just fine.

or go with a 1060 / 6400 which is $485.

Both are more than enough for today's 1080p gaming.

That all depends on the game and graphical settings.

It probably would bottleneck it yes, an I3 is ok for lesser cards up to and including a GTX 960 or R9 280 but once you get beyond that into the higher end cards you will get bottleneck.

If you are getting a GTX 970 or above, basically anything that is VR ready then you should have a CPU with 4 or more cores. You might be better choosing the GTX 1060 and an I5 if that is your budget

It should be fine. Keep the i3 and upgrade it later on. You only lose a few frames in gaming but nothing major. I tested my gtx 970 and ran Unigine Heaven benchmark with my i7, then put the 970 into my new i3 and tested it there and the difference was like 25points. So unless the game is heavily CPU intensive your not losing much performance.

So this is what you guys talked me into and it fits the budget perfectly.

PCPartPicker part list / Price breakdown by merchant

You can save some money by going with a H mobo. It will not lose any feature for gaming at all. Take a look at msi h170 gaming m3 or asus h170 gaming pro

As someone who actually owns this setup, I notice that A) My system is definitely CPU bound and B) At 1080P, i still max out most games.