So assuming this was applied next season, the first "quali race" will have the Williams/Alfas at the front in some combination with the Mercs (or Hamilton and Max, depending how things go) at the back. At the end of that, the Mercs and Max will be perhaps midfield for the race. Perhaps they can make it to the front in the race but perhaps not. The at the next event, it'll likely be the Williams / Alfas at the front, the Mercs/Max a bit further forward. And then in the race, they'll be a bit closer to the front for the race. Perhaps they'll get there this time . Then they'll be leading the title race and so we'll go back to the first event's quali race positions, with the midfield runners in a varied order from the first time. Repeat with someone else starting at the back the next time, before the Mercs/Max are there again. In the end, it'll just come down to which races are in which order as to who ends up winning the title.
It's about as contrived a system as one might want. We'll end up with a load of race winners who basically luck in to it - a bit like Gasly in Monza. Not sure F1 should be about who lucks in to race wins. May as well all just roll dice to see what points they get each week.
Alternatively, we'll end up with a Hamilton-through-the GP2-field-in-Turkey style race each week featuring Lewis and Max against the rest. Which might be fun but will doubtless end up with people complaining "we just see Hamilton and Max overtaking people all the time and it's boring".
If you are more fortunate than others, build a larger table not a taller fence.