For gaming a build with LESS CPU is normally the correct balance.
Assume you buy the above build then add $200 video card.
Stepping down to an I5-3470 saves over $100. You then put the extra $100 towards video. An I5-3470 build with a $300 video card is measurably better for gaming than an i7-3770 with a $200 card.
(If the purpose of the system is video editing then the i7 system makes sense)