yes, moving the rest will move both broadhead arrows and field tip arrows, but it will move the BH arrows a lot more. Eventually, since the bh arrow is more sensitive to rest adjustments, it will catch up to the field tips. Keep making very minor rest adjustments until they hit the same spot together, regardless of whether they are hitting the bullseye or not. Once the broadheads and the field point hit together, then you can move your sight to get your self back into the bullseye.
Download the Easton Arrow Tuning Guide. It is a wealth of information.