As Marty Gillens argues in his book Affluence and Influence (http://press.princeton.edu/titles/9836.html), on almost every issue there is a sub group within those who feel a particular way on an issue that is highly informed about that issue and a subgroup that is less informed. 1p1v gives both groups equal weight while QV gives much more weight to the informed. This is much fairer, because the uniformed group will typically be easily swayed by advertising and manipulation to vote the other way, making groups with more uniformed people easily undermined even if there are some members that are informed and who could speak for this group's interests. This is a major problem in American politics: the poor often favor less redistribution than the rich do (again see Gillens)! So I actually think QV would improve the situation precisely along the dimensions you are highlighting.
This is a great question and one of the central ones my analysis addresses (http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2264245). You can read the results in details for the general guarantees, but a few observations about the scenario you describe. First, doubling group size at worst increases by a factor of the square root of two the number of votes you can buy with the same amount of money. To double the votes you buy you would have to increase aggregate expenditures by the square root of two as well. Second, I disagree that these coalitions would be stable. If you gave someone $35 million, why wouldn't they just keep the full $35 million? Under 1p1v there is no incentive to cheat on the coalition...you get to keep your money regardless. Under QV there is a huge incentive to cheat on the coalition and it could be made even larger by giving bounties for ratting out to the police, which has been extremely effective in antitrust in breaking cartels. In fact the situation is extremely analogous to antitrust. Cartels do harm market performance, but I think few of us would, as a result of them, prefer rationing over markets.
As we prove in this paper (http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2264245), a small group can never beat out a large population with an overall preference in the opposite direction in equilibrium, regardless of what they announce. The reason is that any small individual or group can never really buy very many votes. $10 billion buys only 100,000 votes. Do you think this could really deter others from voting? Now a large group could deter other from voting, but of course this can happen under one-person-one vote as well. If you think Obama is the overwhelming favorite you do not show up. But that is not really how things work out in practice and I doubt they would under QV. To begin with, the members of the large group would have no incentive to show up either. It requires assuming a very strong asymmetry across groups which will mess up any system.