I think you will find that having one pc for both editing and gaming, can lead to frustration.
Best case scenario will be to separate your work and gaming spaces. work is work. gaming is gaming.
coz you seriously won't want to go hunting for an elusive black frame in your final video...
Also, don't even think of alt tabbing during the render phase to do something else
The specs for editing and gaming can be similar
Just that what type of editor you are will determine the internal components.
Monitor wise, you will be wise to get 2. Both preferably with good colour gamut. Or at least 1x monitor and 1x common 4k led tv.
Lastly, hope you are editing 4k video with clients paying for 4k video.
Most are still paying DVD rates for FHD video.
4K video represents a tremendous leap in workflow expense compared to FHD. I do live and even then, we prefer not to do 4k even though our equipment can do 4k, unless the client is willing to pay for it ( most aren't )
And after all that, don't forget
UPS
NAS
You'll be eating HDDs for breakfast...
For hardware specs, it will be a min of a 4790, with the 5820K onwards a better bet for processing power alone
Load up on max ram ( you will need it )
Overclocking should be kept to the defaults or mobo passive overclock ( the money saved from overclocking negates the productivity lost ). Its cheaper to buy a faster clocked CPU than to overclock an existing CPU to match a more expensive CPU.