You are flat-out wrong about the last point.
Pass a stand-alone bill to fund Social Security and Medicare, and see what happens.
Then pass another one to fund the U.S. Dept. of Defense (with no funding for Ukraine), and see what happens.
Then work your way through each department of the U.S. government, one at a time.
You'd probably get through at least a dozen bills before you got to one that the U.S. Senate had the b@lls to reject.
What you're forgetting here is that the Senate and White House aren't the problem. The real problem is that we don't even have enough conservative Republicans in the HOUSE to pass a conservative budget/bill.
Why do you think that is?