This is a very complex question. You start by positing an "ideal Buddhist", which cannot really exist by virtue of all Buddhists generally being human, thus flawed.
You are asking about how a Buddhist goes about reducing suffering in others - or put the other way, acting on the kindness and compassion that they practice will, hopefully, bring into being.
There are different "venues" in which this might take place. The majority of Buddhists, I would say, are ordinary people, not entrepreneurs. Thus, their kindness and compassion will flow to those they have immediate contact with. They may decide to help run a small meditation class, or may just resolve to be kinder to their kids. In the end, if as a result of their practice there is more kindness in the world, then this is a good thing.
Some people have a more entrepreneurial spirit, or perhaps have skills that might let them create organisations that improve the lives of a larger number of people. There are a number of Buddhist run charities, such as The Karuna Trust or Rokpa, charities set up by Buddhists to try and solve some of the world's problems. There are many more than these two examples.
In ancient times, an example to note is King Ashoka who, after realising the folly of his ways, used his influence to improve the lives of others.
But it is important not to discount the simple kindness of listening to a colleague who is struggling, or sharing with those interested some of the lessons learned through one's own practice. These also change the world.
As Buddhists, we must all seek to find the most effective means to act out that desire to make the world a better place, and the choices we make will each be very individual to our sensibilities, talents and circumstances.