This year the International Team would have been
Giannis
SGA
Markkanen
Siakam
Luka
Embiid
Jokic
Iring (arguably since he has played for the US but was born in Australia)
So that is 7 or 8 of the 24 and Giannis couldn't even really play. The international team would have a great starting lineup, but there just aren't enough quality foreign players to make it work. The NBA is not the NHL.
Now if you went my idea of 4 teams of 6 with a mini-round robin of 10 minute games (2-5 minute halves). You could have an international team compete in that. You could probably work it out to have all of the teams divided out by some location of birth, college, etc. to get the other teams and just not have a draft. Though I would just do a snake draft top vote getting gets 1st pick, then 2nd highest, 3rd highest, and 4th highest.
I think the mini-round robin would be fun. So the games would be something like this
1 v 2
3 v 4
1 v 3
2 v 4
1 v 4
2 v 3
Every team plays 3 games. The seeding is based on vote getters, so being the top vote getter, has you play every other game, the 2nd vote getter doesn't have 2 in a row, but does sit out 2 games, while 3 and 4 each have 1 back to back.
I think that would be fun to see condensed games more like the playground since there is just 1 sub per team. Make each game worth 300k (or some figure) where the winning team gets the full amount (50k a person). So if you won all 3 games, each player would walk out with 150k.