The reason that I asked is sometimes people want to blend the sapwood with the heartwood, dye is better for that. Some colors that people would like their Cherry to be can be better obtained with a toned top coat in conjunction with a dye.
But seeing as you like the results produced by the Minwax stain and poly, then there is no reason to consider anything different.
I would consider using a very light coat of ½# shellac, either mix you own and dewax it or use Zinssers Sealcoat (you'll have to cut it) to help prevent any potential blotching . And practice your finish schedule on some scrap before hand to make sure it achieves the results that you are desiring. Also I prefer a wipe on poly to brush on, it takes a few more applications but it's easier to apply without drips brush marks and sags. I make my own by thinning regular poly with MS.
Dave