The two party system wasn't ever intended. It's just something that happens in a democracy. The founders just didn't do enough to prevent it, even though some of the tried.
Nobody likes the 2 party system, and I'd go so far as to say nobody likes their own party. There's just no way that 2 parties are going to satisfy anyone. This isn't news, everyone fucking hates the polarization. But here's where I'm at.
Let's say you're a sailor on the HMS Bounty, and the first mate stages a mutiny. See, the Captain wants to go deliver the cargo to the port and get paid to buy more rum, and the first mate wants to divert to go get more rum now. I dunno, I'm not a pirate. Slowly but surely your fellow sailors fall in line either behind the Captain or the First Mate. You and your bunkmate, though, you're above all this. The two of you don't give a shit as long as you have 3 hots and a cot. High fives all around!
But then, during the squabbling, the Bounty runs aground on a sandbar. The First Mate says, "Aye, let's dig ourselves off of this sandbar and then we can go off to get more rum!" And the Captain says, "Sandbars aren't real, we'll get moving eventually if we can just figure out what's wrong with the sails." Well you, being an experienced sailor, know that you're not getting off that sandbar until you dig yourselves out, barring some unpredictable storm coming by and giving you the push you need.
So you talk to your bunkmate. "I think we ought to listen to the first mate on this one. And if we have to go along with his plan to get more rum now, well, that's just something we'll accept in order to get ourselves unstuck from this sandbar." And your bunkmate replies, "I THINK BOTH SIDES ARE STUPID."