Yes and no.
See gerrymandering. See abstention rates and voter apathy.
Politics, like any system, can be gamed. Considering the incentives and interests at play, it is no surprise that it is. Taking into account how long these systems or similar have been in place, it shouldn’t be surprising that efficient tactics and strategies have been devised and refined over time.
Also considering how uneducated most of us are when it comes to politics, it is no surprise that most of us fall continuously fall for age old tactics and strategies.
Regarding "we the people", I personally do not come from nor live in the US. In the country I come from, people chose to do exactly what you suggest and vote for someone new. They eschewed both traditional parties, did not fall into the extremes' traps, and elected… the underdog!
Or so they thought. It seems they hate him now. He did get reelected, but by less than 40% of the people who could vote if they cared to or believed it would change anything.
Nothing new under the sun, really. I’m pretty sure we’d find the same patterns at play in Athen’s Boule and Ancient Rome.
But hey, "with every mistake we must surely be learning".
In case it wasn’t clear, I have personally entirely given up on both my fellow citizens and my home country’s (a liberal democracy as well) politics.