The Vice President technically presides over the senate, but the senate has stripped them of pretty much any powers not explicitly mentioned in the constitution, because, of course, they'd like to choose their own leaders. That's the difference between the hugely powerful position that the Speaker has turned into and the Veep - the body chooses one and not the other. Matthews is incorrect in saying that the constitution says the veep may have NO power beside the vote, though. It only says that he has no vote besides in ties, which is also the rule with the speaker. The senate could vote to make the veep as powerful as the speaker in the house, but they'd never do that, because that would vastly increase the power of the presidency.
Mississippi has a Lieutenant Governer that has a lot of roles over the senate enforced in the constitution, and its hell to have a presiding officer of a different party trying lead a body, stuffing senators from the minority party into power in all the committees. I think this was one area where the framers were particularly short sited. They should have given the Veep a lot more power over the executive branch (an NO power over the legislative branch) or just not created the position.
And BTW Sarah Palin's a moron.