And don't give me that shit about a Democrat majority, the GOP could have filibustered it into the dirt and they did not.
This is just factually inaccurate. The GOP attempted to filibuster the PPACA, but the Democrats passed it through anyway. Scott Brown explicitly ran on the promise of being the 41st vote that would enable the filibuster for Republicans. By the time he was elected and sworn in, the Senate bill (the one that passed) was already voted on.
From about 8 seconds of google:
"On December 23, the Senate voted 60–39 to end debate on the bill, eliminating the possibility of a filibuster by opponents. The bill then passed by a vote of 60–39 on December 24, 2009, with all Democrats and two Independents voting for, all but one Republican voting against and one senator (Jim Bunning, R-Ky.) not voting."
Also, there's no budget, just a bunch of spending and taxing bills. Taxing bills have to originate in the House, but the President and the Senate have the same veto power.
When debating debatable points, at least PRETEND to be charitable to the other side. Historically, Presidents have huge influence on the budget, because they hold veto power and can use their influence to have members of Congress to put forth the President's position, even though they can't introduce legislation directly. Once the President signs a law (as opposed to having a veto over-ridden) it becomes his policy, too.