Herewith three changes I would like to see:
The cars: narrow wheels. Make the wheels the same width as those on normal road cars. This will make the race more relevant to normal drivers and means that technologies will filter down to road cars more easily. It will also give the cars less grip which will slow the cars down and make races more exciting.
Qualification: cars that finished in the top 8 or 10 of the last race get a bye on Q1. This will allow more track space in Q1.
The race: eliminate grid place penalties for component changes. Rather, impose pit stop time penalties or (possibly multiple) drive-throughs. Grid place penalties are too severe and often prevent a fast driver from winning.
What do you think? Do you like my suggestions?
Just to narrow these down, racing doesn't have to have any relevance to road cars in the slightest and requiring they do makes no sense. More over, the tires are specifically designed to degrade in a completely different way to road cars, to operate in completely different conditions at completely different temperatures, at completely different pressures, there is zero connection to road cars and again absolutely no reason for them to be a connection.
Thinner tires can also be made to have more grip than wider tires if they are made of substances with more grip, wide tires can be made to have far less grip if you make them out of different materials.
Second one... at first glance isn't a horrendous idea, but in reality it is. People treat F1 like it's not a changing beast. At one track Mclaren qualifies in Q3 and people say "their car is fixed" then they qualify 17th at the next track and people say "what went wrong, they have a much faster car than that", and in reality the track changed from Monaco to Canada and it's just a completely different track. What you'd be doing is giving a completely ludicrous unfair advantage to certain cars based purely on the scheduling of the year. as track style, temperature conditions, if it's raining or not and tires used changes from race to race the only fair way to let them compete is to start from scratch at each track. Also the few times a top 3 car goes out at the wrong time or gets caught out by rain by waiting to do their lap and misses out, all that goes out of the window as the top 15 will now barely change from race to race.
Lastly, the worst decision of them all. In COTA Max started 19th or 20th, by lap 15 or so he was ~ 16 seconds off the lead in 7-8th place. So what you want to do is remove that penalty and instead give them a 25+ second pitstop/drive through time penalty which is in fact much more severe in that situation than the components penalty? Yeah, superb idea.