Every new piece of information makes me go "wtf"
But seriousy:
If you were to design the series, how would you do it?
But remember it must be low-cost and interessting to non-motorsport viewers. So something like "full electric LMP-1" would not work..
Cars:
I think already to have such formula-styled cars is bit bad decision. To casual viewers it will just look like some smaller version of F1. But it will of course never be as fast.
There already exists this french series for electric cars:
Racing can be closer than with openwheel cars, cars can get sideways, generally much more "action" that is attractive to viewers.
Or if that is too boring look than have some buggy styled like the ROC buggy thing:
Instead of speed, put focus on acceleration and handling.
For fast openwheel cars you need long straights but smaller, more agile cars would be much better suited to race in stadiums or temporary street circuits in cities.
Electric motors in each wheel, with nice torque and controlled by electronics could maybe make for some impressive manouvers?
In theory one could do some moves that other cars simply can not do, like driving reverse in same speed as forward. Or spinning in place by turning wheels of one side in other direction...
Which brings us to....
Qualifying:
Ithink none of the audience that would "like" a driver on facebook or "sometimes" watches F1 cares about qualifying.
So instead of "boring" time trial have them run some parcours: The Ken Block videos are insanely popular on youtube, even with non-motorsport people.
Watching the cars drift around some parcour and whatnot would make the "boring" qualifying worth watching.
For example this:
http://www.youtube.com/watch?v=EA2rMQbx3II
http://www.youtube.com/watch?v=h9UVV0XuiDk
The car in both video is not very spectacular.
Neither is the speed.
But the video is still fascinating: the driver's precision is something that anyone can admire.
In F1 if driver A is 9/100s faster than driver B around some track, that needs bit background understanding
why that happend and to find it interessting.
But anyone can understand if driver A has hit less cones than driver B, it is in a way more comprehensible.
Fan interaction:
"Fan boost" is obviously beyond silly. If it absolutely has to stay, then in a less drastic form. Maybe have the most-voted drivers get a second chance at qualifying. Extra catch could be that the 2nd time counts, even if it is worse.
Race:
Not every race has to be the same format.
Try to have races "as close to the people" as possible. For example if in some city it is not possible to have a full-grid race due to safety or whatever: Then have timed stages like in rallye. Or have 1-vs-1 shootout races.