In the end, there are 3 outstanding drivers for me. Senna, Prost, M.Schumacher. They made things happen, they influenced team decisions, and even beyond. (Ron Dennis even thought, that Senna could make it as President of Brazil after his racing career)
Alonso would be good, but if I look closer, at Renault, it was Briatore who called the shots in favor of him, and after that? Well Dennis didn't give in to his demands, and at Ferrari results are lacking (mostly not his fault though). But anyway, Alonso's political moves are so obvious, that I doubt he is that skilled. You need to be able to bluff your way through things, if things don't look as they were supposed to look. As an example, MS manager 'confirmed' to Eddie Jordan, that MS had driven at Spa before, even though MS Spa knowledge was only by using a bicycle. And MS did deliver on that bluff. And obviously later on to come out and say that he hadn't driven at Spa before is a political masterstroke. He looked even better by that 'admission'. From another angle, it seems obvious why Jordan Racing was doomed.
Webber is an interesting case. A lot seems to come from his girlfriend Ann Neal, who is said that she knows how to work the media. Thing is, nothing really helped his career, after he was paired with Vettel. And I don't attribute this to Vettel being very political.
This is well said. And based on that Button is a good example. In this thread people say he is nice an non-political, but he went to lion's den (Hamilton's team) and turned it around in his favour. Coincidence? No.
Perez might be even better. Just judging by the comments that Button makes to his team when Perez is near. On those occasions Button ceases to be Mr. Nice guy, and loses all sense of politics. Or if you want, the team doesn't listen to him.
Also I doubt that Button is really that good anyway in that regards. His position against Hamilton can be summarized as who's preferred driver of Dennis vs. Whitmarsh. So he was subject to a power struggle. Also having to pay a team for breach of contract in the past doesn't has the sound of a savvy politician to me.