Webb is out pimping himself, I'll give you that with his MTP interview coming up. But do you see the Obama camp pimping him? I don't think so. Even when Obama highlighted his support of the GI Bill on his blog, there was not one mention of Webb.
The campaign is pushing Sebelius. You can tell it from her appearances and the way they highlight her actions on the blog. She's definitely my first pick. She's still got competition with Kaine and perhaps Richardson, but I think the campaign has realized how poorly the latter would go over with HRC supporters.
And this is not her fault, but picking her as VP runs the risk of being seen as a cynical ploy to appeasement Clinton supporters. Oy, I can already picture the hate dairies in my head. I don't agree with this: If she was a man I would want her/him to be on the ticket just as much, but it's something that needs to be taken into consideration.
With that said, she was seen as a potential running mate for Kerry in 2004 and was viewed as a potential Democratic contender in 2008, so clearly she's been seen as having presidential qualities for a while now.
I do see this point, and I've already seen that sentiment expressed by HRC supporters. My problem with that argument (and I know you're not arguing it, you're just stating it) is any woman that Obama picks is just being picked because she's a woman? For a campaign that's been crying sexism for a while, it's a bizarrely sexist argument itself. While clearly her gender fits into the picture, she's highly qualified and has been for a while as you pointed out.
I get that impression too, but why? She doesn't seem particularly charismatic or even likely to deliver a state for that matter. Doesn't bring foreign policy cred either. All I can see is that she is the governor of a red states and works well with Repubs, and perhaps that Obama likes her personally. But I have a hard time seeing why she is better than many of the other choices.