[Zebra_Fact_Man]

To put it most simple and short, the best alliance is a well rounded alliance.

Methodology:
1) figure out what my team is good at
2) determine optimal strategy for playoffs based off of my team's capabilities
3) make multiple rank-lists of characteristics I'm looking for in teammates (long shooting, close shooting, defense.. etc)
4a) if choosing, select teammates to optimize predetermined strategy
4b) if chosen 1st round, figure out what alliance captain's plan is and share data to optimize alliance strategy and 2nd pick
4c) if chosen 2nd round, you really don't have any say in the matter

Edit: And for the love of mankind, cross off a team from your lists when they are selected by another alliance. Not only is it incredibly embarrassing to the person/team who is selecting teams already in an alliance, but it is just straight up unnecessary and ridiculous.