This is by design. It was made even worse in the S3 patch on purpose.
They nerfed... buffed?... recoil and bloom so that PC players would hate the game even more. If you want any sort of accuracy, you have to play with a controller and let the game aim for you. It will remove much of the recoil and bloom simply because... why... actually I have no idea why, maybe EA/Dice hates PC players and only wants console players.
The accuracy of weapons feeling like crap is a design choice, not some setup error or anything like that. Either go back to controller to get real accuracy again or just uninstall the game and never come back because EA consistently only nerfs MK.