In passing, I call attention to the point that those responsible for making a budget can subvert the whole process by just failing to execute their duty. Both the President and Congress have been guilty of that.
This is not a point to be made in passing, it's the entire core of the problem.
Congress hasn't passed an Obama budget since he was sworn into office.
Everything since 2009 has been a continuing resolution based on Bush's last budget.
Even the sequester wasn't a proper budget, as it was just cutting 10% off the previous continuing resolution.
Which puts the lie to your statement that
At the same time, you should understand that you can't "inherit" a deficit. The idea is poppycock. The budget for each year stands fresh on its own.
The real irony of it all is that Republicans want to cut spending by $1 trillion/year.
Which happens to be the exact amount of Bush's not-so-temporary 10 year/10 trillion tax cut which is now in its 13th year.