It reconciles fairly easily for me, since we have objective evidence of God’s providential interventions on behalf of his children into our time and place, timing and placing. They represent an M.O. of his sovereignty, and it obviously extends to mutations in DNA, not that there is or ever will or can be any evidence of particulars. [Unless you want to count my nephrectomy.]
The lot is cast into the lap, but its every decision is from the LORD. Proverbs 16:33