I have never cooked with apple or mesquite, but have used cherry, red and white oak, hickory, pecan, and maple. If cooking with only one type of wood, I can tell the difference between hickory and pecan when compared to the rest, but I think it's more of a smell thing rather than a taste thing. But the sense of smell is extremely important in how food tastes or is perceived to taste. About 80% of what we taste comes from smell.
For your mix, I really doubt anyone could smell or taste anything in particular and it will taste great. Cook on.....