No they tried to kill each other in the beginning. And with that I mean kill not fight.
So my advice.
Don't put them together and see what happened.
Think and find something they both like. Something that don't make them to exited, and will make them feel that they are two that thinks and like the same.
I often use food or trick training. But that didn't help with Akela and Eliy. I tried to put them together so many times and after every failure I said to myself, I will never do that again.
So one day, on a bath day, I was bathing Akela in the bathroom, and I hear Eliy in her cage wanted to join us. I did think about it, and fast realized that this was it, why haven't I done this before..
So I added Eliy to the bathroom, and when I saw that they wanted to fight I just sprayed them, and as they both loves to bath they soon forget all about fighting and they both wanted a bath until they where soaking wet. Best part was that they did look at each other in a different way after that.
The next time it was bath day I did the same but this time I let them stay out together for 30 minutes and it went well.
So after several months I found a way that I could introduce them to each other.
And now after two years they are really good friends. But it did take long, and I have to separate them several times, and I still must. But now they are not trying to kill each other longer.
Now, they know that they both are birds, they only have each other when I'm not at home, (but they will never share a cage) and they/we do several things together (like eating, bathing, training e.t.c)
The most important thing when you should put them together is to not make them jealous. Love Bug come first, she should have 80% of all attention, if you give her that she soon realized that the new bird isn't a threat. (and you should do the same with Buzz)
If the bond between your husband and Love Bug is strong it is better that you introduce them to each other. And he can do the same with Buzz and Puffin.
Perhaps take them for a short outside walk together, or another thing that will make them have something to think of at same time.
And how I learned mine to accept each other was easy. The one that was mean didn't get any attention at all. And I was very distinct in what I liked or not.
So the first time Eliy was preening Akela I acted that she has climbed Mount Everest. And when Eliy bite Akela I just gave Akela all the love.
This is not a advice I giving you, I just told you what I did.
My problem was that Eliy did like Akela from the beginning, but Akela sees her as an intruder. But after Akela accepted Eliy she wanted to be friend with her so badly, but then Eliy didn't like Akela longer. And Eliy grow up to be a powerful fighter, and Akela lost the thrown. So without me helping/guiding them they have never been friends.
So of course yours will have a better scenario then mine, but if not, you know that their is always hope. That are my birds a living proof of.
Good luck! I know that they will be friends, sooner or later.