"Look at the pros and cons of each one" is an enormous handwave; I've provided very clear evidence of our inability to do that successfully in a very topical and concrete case.
What DOGE did is not one I'd consider proper review, so bringing them up doesn't necessarily help your point. There definitely are ways to look at each tax and determine its worth, in a non-partisan way.
It is already done today. Academic panels, economists writing papers on impacts of various policies like rent control, monetary policy, and yes, taxes. Are some of them politically motivated or have academic disagreements? Sure, all people have personal politics and biases. But that is better than throwing up ones hands and saying we should accept all bad taxes because good ones also exist. By that logic, any tax I suggest should be accepted by you, because there is no way to tell if it's good or bad right?
We are tweaking a multi-trillion dollar system impacting hundreds of millions of people directly and billions indirectly. The impacts of those tweaks take years or decades to (imperfectly!) assess. Many of the tweaks and their impacts are a matter of deep partisan and academic contention.
I'm noting that our political system seems to generate lots of folks going "this is wasteful spending!" when it's… not.
That results in challenges in determining what's a "bad tax" and what's a "good tax", and the consequences of cutting programs may take time to show up.