The President can set policy but he doesn't make the laws, something he seems to conveniently forget on multiple occasions. The "bully pulpit" is only that - the ability to propose legislation. However, every single member of Congress also won their respective elections, which means that the nation didn't give Obama a blank check to do whatever he likes. It is his responsibility to find compromises to encourage Congress to pass legislation. Reagan had a Democratic-controlled Congress, and Clinton had a Republican one, but both managed pretty damn well to work out some compromises. It's clear Obama isn't good at working Congress - we know he barely meets with them and when he does he doesn't have a personable style. From what I've read about him, he also has no integrity - he has promised even "friends" that he would act for them and then changed his mind. Hell, even Oprah doesn't like him anymore. You have to be a pretty reprehensible person to move her from pushing you hard in 2008 to not liking you a few years later. A lot of politicians probably stab their enemies in the back when given the chance, but few if any are stupid enough to stab their friends in the back. Obama is that politically stupid.
There are probably about 100 bills by now that the House has passed but which Harry Reid won't even let go to the Senate floor right now, so blaming the Republicans is a very partisan, and perhaps not even just partisan but specifically pro-Obama, stance to take.
The deadlock shouldn't be able to happen. If a party wins a majority in the GE then that party is in charge and unless their own party starts voting against their policies (which is usually going to resort in a MoNC anyway) it doesn't matter how the PM talks to the opposition.
There are several systems the UK might adopt at least in part, the US 'system' certainly isn't one of them
I'm Israel, he's Palestine, its more fun when you pick sides.