I think that Leo5111's suggestion is very much the line to be going down....
Sounds like you need a strong processor (the 'CPU'), though an i5 might still be overkill... but also futureproofed for easily the next 5 years too.
However the key to having a responsive system about understanding the nature of bottlenecks...
As a very brief analogy (and apologies if this sounds patronising, not my intention) I like to think about Data analogous to workmen moving construction material around a building site.
If 1 workman fills a wheelbarrow of bricks, to move from pile A to pile B, and the foreman wants to double the speed of brick movement, there is little value in employing 2 workmen to move the 1 wheelbarrow.
Back on topic, you need a strong
overall system not just a good CPU.
This means fast RAM, and enough of it, as well as a really good SSD within the computer, and finally a good local network if you are streaming from the network.
This machine
Gigabyte GB-BXi5-4570R is perhaps a little stronger, with a much faster CPU (though beware - also much, MUCH hotter) and 2 RAM slots, for 2 x 8GB of DDR31600, and pretty much any modern SSD will be great.
Personally, i'd get the Zotac still as it's CPU runs so much cooler (6W, compared to the 65W TDP of the Gigabyte), but i'm just providing choices here.[/i]