I think it's a good idea to have race differences for stuff like puzzles, NPC reactions, small changes on food effects, these kind of things. I'd even go as far and suggest some lore heavy quest chains exclusive to races, or some shops charging you slightly less / more depending on your race.

But for stats? Thanks, but no. There are other far more creative ways to make races different without pseudo forcing races into classes. The current stat difference is fine.