2mm spacer under the cone spacer fixed it right up, and it looks perfect. No real gap visible between the cone and the top of the head tube. 2mm is a lot, and that goes to show just how different the Specialized and Cane Creek OEM top caps are.

For those searching in the future, the spacer is kinda like what goes between your stem and top cap, except the outer diameter is much smaller. More of a tight ring that goes under the cone spacer at the bottom of your stack, and nearly sits directly on the bearing.

Thanks reptilezs for your input.