What are you basing your rankings on, just your personal preference? Looks, that way, because you can't rationalize Mincey being lower than JCrawford and the rest at least not based on anything on the field. I think you are seriously over valuing Bishop, Coleman and Edwards. I like the two DTs more than Edwards, but I don't think there would be a gaping whole if any of the three were released and I most certainly would not keep all 3. We need to keep some players who have actually played and can contribute in the NFL.
I disagree that Mincey will only be a 2 down player the first two games. DLawrence will not play 100% of the third downs, so Mincey will get quite a few plays there and on top of that, TCrawford will not play 100% of the third downs and while they like JCrawford, Mincey has received work at the 3-tech as well and by any form of measurement is a better player at this point.
Then when Hardy comes, Mincey will obviously see the field less, as will every other DE, but he'll still get plenty of snaps at either DE spot or the 3-tech.
And are you assuming that Hardy, Lawrence, Gregory and TCrawford will remain 100% healthy? If any of them go down, Mincey likely takes their spot in the line-up and is light years better that JCrawford or LEdwards.