In addition to the great advice above, I've found that a sizing die with a "floating" expander that expands after the neck is completely pulled out of the neck-sizing area of your die is a big part of the solution - such as the Forster, but other brands can be modified. Additionally, using one of the VLD chamfering tools will also help when looking for better bullet alignment. Wilson has been doing that on their inside neck reamers for decades, and it really helps.
As far as using your 650, I'd resize as a separate operation; then check for case length (cases stretch during sizing), concentricity, etc. Then run them back through the 650 without a sizing die for the rest of your operation.
As always, YMMV. Good luck.