There are sound effect mods that can mute out certain individual effects without disturbing the others (bicycle bells, sims' alarm clocks, Build/Buy music, certain radio stations, ghost music, etc.) TwoFtMama has a slew of them on her Sims Asylum website. I've checked and none of the ones I know about are intended to work on the object-click sounds.
I've never found or heard of the object-click sounds being that obnoxious relative to other sound effects in the game. Guess I have to ask if the OP has an unusual sound card on their system and maybe its drivers are in need of updating?