Well... this is easier said than done. In the past, the BCCI had threatened on multiple occasions to pull out of ICC tournaments, if they don't get what they want. And I don't expect anyone in ICC to antagonize the BCCI, especially since the ICC chairman (Greg Barclay, from New Zealand) is a nominee from the pig-4. Let's just hope that the BCCI won't object to a fair revenue distribution regarding the ICC funds, given the fact that they just received more than $6 billion from the IPL media rights auction.
You are pointing in right direction, that's the main reason big 4 don't want new countries specially china, Russia or USA to join in since that will break the dominance of big 4 in cricket. ICC has not control on big 4 and they can do whatever they want. Remember how Newzealand pulled out of Pakistan tour last year.