OK, you're crazy! But I'll at least explain what I don't think works.
Due to revenue reasons, the NBA will not reduce the number of game on the schedule. In fact, I would assume that the national TV contract probably either requires the season to stay the same length or is prorated based on the actual number of games played. Five fewer home games hurts local revenue, too. 82 games is here to stay.
Only 6 teams miss the playoffs? What is this, hockey?
And again, 16 teams a year go to single-elimination? The NBA hasn't done anything resembling single elimination in my memory, if ever. I can't recall any series under best of 5.
"Lottery Playoff" proposals are usually pretty much DOA. The whole point of a lottery is to give the worst teams the best picks. This sort of proposal can force legitimately bad teams to miss out on top picks, which can easily turn into a vicious cycle. The only thing that remotely rescues it here is that only 6 teams are in it, so bad teams can only be hurt a bit instead of a lot, but I still think you've got perverse incentives here. The #9-12 teams in each conference have a tough position. They're going to have to go on the road for a 1-game playoff just for a chance to play a great team who is almost certainly going to eliminate them, and for their trouble, they lose any possibility of picking higher than #7 - a zero chance of moving up instead of a small one. The last two or three teams in each conference would probably spend the last month of the season tanking far harder than any teams tank now, just for the opportunity to "drop" into the 6-team playoff, dominate it, and get the #1 pick. I totally understand the concern about tanking, but I don't think this fixes it - in fact it may create some perverse incentives to increase it.
I'll give you one thing, you've proposed pretty radical changes. But the NBA isn't going to go out and buy a new house because they're not really keen on the kitchen faucet. Realistically, baby-step changes are the only thing you're likely to get.