I'm thinking about trading in my Bushmaster A2 for it
I wouldn't do a trade-in, you will always loose more money that way. You are better off selling it outright or putting it on consignment at your local gun shop. Right now people seem desperate for AR's and are willing to pay top dollar for them. I sold my Bushmaster M4gery for $1200 after the election, I paid $900 for it new less than two years earlier and it sold within a week.
As for the 556.....
I absolutely love my 556! I'm a huge Sig fan so of course I had to buy a 556 eventually, once I learned that you could install traditional 551 style handguards I new it wouldn't be long until I had a 556. Just tonight I ordered the Aurora 55X style rear sight which is copy of the traditional Sig 551 rear sight, I can't tell you how excited I am to get it on my rifle!
Anyway I used the money I got from selling my AR and bought a 556 folder. The gun is everything I hoped it would be, especially after replacing the heavy, clunky looking handguards. It's accurate, comfortable to shoot and very stylish. My only real complaint is that I wish the mag release button was a little further back, either that or I wish I had longer fingers. The only other complaint I have is that it only came with one mag and its a very crappy one at that. However that was an easy fix, I simply bought five Lancer mags
Anyway I wouldn't say that the 556 is better or worse than your average AR, it's just different. In reality the gun is closer in design to an AK than an AR, the bolt is very much like a standard AK bolt. In the end you are really comparing apples to oranges when you compare the 556 to the AR platform. People who own the 556 tend to love the gun and people who are staunch AR fans will say stick with that. My feeling is that if you want something a little different for your collection then you could do a lot worse than a 556. Is it better than an AR? depends on the AR in question and also depends on what the shooter is looking for in a gun.
Good luck with your decision and btw welcome to THR!