Theres a command to get rid of the micro stuttering when you move around by opening the game console and typing com_fixedtic 1, adding it to an autoexec.cfg file or on the launch options on steam. there could be some wonky physics if it goes below or too much above 60fps but I think everyone will be fine with today PCs. (always set to multicore in the options menu)

One thing that always bother me is that enemies despawn too quickly when killed (obviously to improve framerate at the time with older hardware) but no more! Go to : https://community.pcgamingwiki.com/files/file/1009-quake-4-tweaker/ ... not only will you be able to fix that but also:

Properly adjusting the FPS limit to above 60 (e.g. to 144)
Fixing texture bugs on modern hardware by forcing high image quality
Changing the field of view
Skipping of the intro videos
Forcing the game to use a custom resolution

and with that you will have a smooth vanilla experience , Have fun