It will scale well because 1080p lines up with 4k very well.
However gaming in 4k suck hard at the moment even with a powerhouse of a PC a lot of games just fall apart at 4k with frame drop/game freezing it sucks.
Get a 1440p/144hz monitor if you want a good gaming experience you'll get the increase resolution you want that is easy to run, also the increased frame rate will make fast paced games look amazing.