...what if you move the racial bonuses from auto gains to adjusting the stat table instead?
For clarity's sake, let me see if I get what you're suggesting. What it sounds like is if, say a character has a stat of 75 that has a racial bonus of +3, instead of looking up the stat bonus on the 75 and adding 3 to it, you'd add the +3 to the 75?
Assuming that's so, keep in mind stats in RPGs are often generated on a bell curve, either by adding multiple dice, eg 3d6, or building it into a stat values table, eg 40-59=+0, a spread of 20 all with the same stat bonus, but at the end of the table only 98 and 99 have a +23 and only a 100 has a +25....
and they're jumping by 2s at the ends, but only by 1s in the middle of the progression.
That means that adding the +3 to a stat between 40 and 56 doesn't change anything, but adding it to a stat of 97 changes the stat bonus by 4. The same kind of things happens in 3d6. Add +3 to an 8, that's very little change in stat bonuses (if any), but add it to a 15 and that's a major shift. The bottom line is that bell curve progressions and linear progressions don't run in harness together very well.
Of course, if I have misunderstood what you're proposing, ignore all of the above and please elaborate/clarify.