Same thing ... just as population can be exaggerated so too can influence. I remember a few years back when a Baha'i informed me how Mahatma Gandhi couldn't possible be who he was or to have done what he did without the influence of Baha'ullah. All this despite hearing a similar peace message from hundreds of sources. It's a natural energy flow to think you and yours are important. Whether or not that's logical is another matter.
You attribute it to Baha'u'llah. I attribute it to many factors. The Doukabhors and others left Russia because they were non-violent. I suppose that's because of the Baha'i influence as well? When evangelising Christians first encountered the writings of the Tamil Saint Tiruvalluvar fame, they jumped to the conclusion that he must have had some good Christian friends who influenced him into writing what he wrote, as it couldn't possible be on his own accord. I suppose soon we'll have Baha'u'llah time travelling to influence Tiruvalluvar as well.
I view the non-violence messages as all good. As to who influenced whom, and all that, who knows?
Here's a lengthy list of peace activists. Please note that some pre-date your prophet.
List of peace activists - Wikipedia
And yet world peace has so far remained elusive. Have we tried everything?