It doesn't actually read like "both sides" stuff to me. It's no secret that Dipshit's behavior is super polarizing and is only serving to divide the country. He makes a good point about the whole obsession with winning. A lot of people, especially on the republican side, care more about winning their side of the argument than they care about doing what's right for the populace. That's why they keep stubbornly holding to whatever stance their side takes, regardless of whether it hurts the people around them, or themselves. The original point of a multi-party government is to have different ideologies working together for a greater good. That went out the window decades ago, and now everyone just runs a blatantly us-vs-them mentality, even before it came to the current irreconcilable extremes we see today. It's not wrong to point that out.
Having said that, his suggestion does come across as overly idealistic to me. I don't think there is anything to be gained by talking to President Dipshit. Dipshit won't listen or understand anything said, and even if by some freak accident he does actually understand anything, it'll leave his head in five minutes at best. It won't affect anything in the long run. It also doesn't work on a moral level because discussion and compromise only works when both parties have an underlying point.
The whole kneeling thing was a valid compromise because the counterargument against sitting out the anthem was valid in that some people might think it was disrespectful. But the example doesn't carry over when one side is full of literal Nazis who want violence and death on everyone who isn't them, while the other side is basically going little more than "stop killing us." You can't exactly compromise with those two issues.