The end game is actually quite logical. What they want is for the order of cars after qualifying on Saturday to be different to the cars race pace on Sunday. Having slower cars in front of faster cars on the grid is a good thing.
But because they are a bunch of selfish clowns unable to organise a booze up in a brewery, they are missing the obvious solutions. Rather than breaking qualifying or sticking loads of artificial rubbish in to try and force the order to mix up, seperate qualifying and the race so they naturally produce a different outcome.
Firstly they could drop the linking of the tyre strategy between qualifying and the race.
Then perhaps use a specific qualifying tyre that isn't used in the race? A natural variation in cars performances on different tyres should mix things up.
Maybe slacken the qualifying parc ferme rules so that teams can run qualifying setups. Lower drag wings and high use engine maps. There would need to be some cost control here however.
Then open up the strategy in the race too, use whatever tyres you want (from an allocation) and stop as many times as you need too.
Just changing that lot could see someone like Williams stick a low drag wing on and go balls to the wall and stick a car on pole, and then fit hard tyres and high down force wings to it and aim for a 1 stop race. The guy in 15th who fluffed his qualifying up might decide to go for the softest tyres available and some low drag wings and aim for 3 stops and lots of overtaking, like we have seen RBR do a few times.
Naturally mixing things up without stupid gimmicks. With the current tyre rules the teams have already chosen their race strategies for the first 4 races of the year, which is stupid. Teams cannot react and adjust their race based on qualifying any more. Qualifying is basically the first lap of the race, and then they carry on from there.