Like many others, I'm sympathetic to your wish for unity and suspicious of the source it is coming from. Religion has very rarely been a solution and most of the time part of the problem. Baha'i hasn't been the only one wanting to unity by creating a new religion under which all can unity. But the effect is always the same: one more religion to divide people, making the problem worse.
The solution has to be a secular one. One that doesn't mention religion at all. The cause, similar to your case, is not the lack of the right religion, the cause isn't even religion, like one could easily conclude, the cause is divisive thinking.
I do think that people in liberal forms of religion and religions that incorporate bits and pieces of all religions into their beliefs can be at peace and unity with each other. But they are putting aside the types of beliefs that had made a particular religion exclusive and the only one the is right. They take things like the Golden Rule and make that kind of thinking the most important. And also that Buddhist analogy about the blind men and the elephant. They look at a bigger picture and see the whole elephant, instead of seeing the little piece that of the elephant and thinking that's the whole thing.
But do Baha'is fit into that? They believe they do, but they are still a religion that thinks that their prophet is The Prophet. That their concept of God is The Truth. And that their laws are The Laws of God for this day and age. So, can they work together with those liberal and New Age believers, or will they be covertly thinking and trying to push them, or guide them towards Baha'i beliefs?
Since the Baha'is believe they have the truth for today, and that their prophet is the divine physician, I think, ultimately, Baha'is will push for their beliefs as being better and necessary to bring about a peaceful and unified world. And I saw that happen at an Ecumenical gathering at a Reformed Jewish Synagogue.
All the speakers from the other religions spoke about respect and acceptance of the other people in the other religions. But the Baha'i speaker read directly from the Baha'i Peace Statement. And since she was reading it, it came across like a lecture. It was long and tedious, and she finally looked up and said, "I could go on but..." She looked around and saw that the people had enough already.
I've seen it here on the forum also. The Baha'i don't seem to realize they are doing it, but to others, they are pushing their beliefs into the discussion. As if we are going to see something so profound and so obviously from God that we will all open our eyes and see the truth, their truth.
But we don't. Instead, some of us complain, ask questions, and at times, some of us get annoyed. And are we treated with love and respect by the Baha'is? Again, maybe they think they are treated everyone respectfully, but to some of us, they seem to be just like everybody else... they get annoyed, and at times, to us, lash out and act out of anger. Of course, they'll probably say they aren't. But the opportunity to find ways to bring people with opposing views is lost. And, I think, until Baha'is can learn to show love and respect for those of us that doubt them and question them, then they won't be able be bring about anything that resembles peace and unity. They'll just be making enemies and causing more division. And can they put the blame on us? Sure, but is that going to solve the problem?