The President submits the budget to Congress, which then changes the budget. So, the President does not determine the budget, but does have a lot of input. In addition, the President may veto the Congressional budget bills.
So, no, I am not saying that the President determines the amount of spending, although he has a lot of say in some parts of the budget (a large part of the budget, like Soc. Sec. spending is not discretionary).
However, i am saying that your claim that Bush vetoed Dim spending bills (most of the budgets that Bush had the option of vetoing came from Republican Congresses, so Dim is right) is incorrect. Only four of Bush's 12 vetos were overridden by Congress, and none of them were primarily budget laws.
I would also add that I find it hypocritical that you point out in some posts that the President is not responsible for the budget, then blame Democratic Presidents for budget deficits and give credit to Republican Presidents for budget surpluses and low taxes, while not having Bush take any responsibility for the budget deficit for the last fiscal year for which he was responsible.
Jeff