Don't take this the wrong way, but what? Alomar was obviously a phenomenal player, but he ended up with the same career wRC+ as Chase Utley, another phenomenal player. Peak Utley might even have been a better player than peak Alomar, or at least just as good. For Biggio to become as good of a hitter as those guys at their best he doesn't have to become a "batting title level hitter" at all, merely exceed his power output - not impossible given his swing path - or lower his K rate a fair bit more without sacrificing the rest of his toolset, he's not exactly Joey Gallo at the plate.
For Biggio to become either of those guys he'd actually have to significantly improve his defense, not his offense.