I really like this idea and I think it could be a very interesting addition to the game. That being said, I do think that the idea needs some modifications for it to realize its full potential.
Firstly, as some of the users have already mentioned, the distributions can't be done using only skill points. Because as you know of course, the weight of each skill for each position is different. So, I think the better way to go about this would be to give 5 Hall of Fame, 5 MVP, and 2 Superstar players to each manager. Each team must have at least 2 players in each position (2 PG, 2 SG, 2 SF, 2 PF, 2 C), and the manager can choose the position of the two remaining players on his/her own. The manager then is free to choose how he wants to distribute the potentials (5 HOF, 5 MVP, 2 SS) between the players. For example the manager can distribute the 5 HOF equally to all 5 positions (1 each), or he/she can choose to use all 5 on his big men inside (assuming he sets one of the two free positions to a big). This way, there would not be a certain number of skill points to be distributed. Instead, the managers can use their knowledge and use the cap potential that they're given to the best of their abilities to create their ideal team. Also, this way the weight of each skill for each position would be addressed.
Secondly, I think the point that Amin made is also a valid one, but not in the way that he proposed. He's got it kind of upside down

As you win more, the stakes must get higher. The point system should not factor in which week it is. It should only consider how many wins each team has. What I'm saying looks something like this:
Wins vs teams with 0, 1, and 2 wins = 1 pt
Wins vs teams with 3, 4, and 5 wins = 2 pt
Wins vs teams with 6, 7, and 8 wins = 3 pt
Wins vs teams with 9, 10, and 11 wins = 4 pt
Wins vs teams with 12 wins or more = 5 pt (So this way, the team that is the last one standing, has more to lose)
This way, the stakes get higher as you win more, but there will also be a chance to close the gap with teams that have more points than you.
Thirdly, since this idea is based on the notion of finding the best tactical mind of the game, then I think all the chance factors must be eliminated, and all games should be played with absolutely identical conditions. For example, there should be no injuries. Also, an incident such as 2 starters of a team fouling out in the 3rd quarter while the other team has less than 10 fouls total should not happen. We all know that certain players have a tendency towards aggression and certain others don't. For this reason, I think a random aggression variable should be generated for each game in the beginning. So both teams should be fouling each other at around the same rate. Game shapes as you mentioned should be 9 for all players. I also think that the stamina, free throws, and the experience of all the players should be identical. Same goes for enthusiasm of course.