At some point F1 just has to take a hard stance and state the teams don't have the final say in this matter. Sure they might threaten to split off into their own league again, we have seen that before. This kind of power by the teams is not healthy.
I actually rate the Andretti bid quite highly - backed by Cadillac and with good pedigree. It might not be liked by the current teams but I don't think they need to unless I'm mistaken?