Long answer: Peter, the prophet of the Church after the Savior’s ascension, received revelation that the gospel is for all mankind. “...He that feareth him, and worketh righteousness, is accepted with him.” Acts 10:34 - 35
In order to step outside ourselves and act as the Savior would, we need to develop genuinely personal and caring relationships with those we meet. And to meet them we need to start by introducing ourselves and offering a hand. They are our family. They are our friends. Or they are the family and friends of people we know and love. We ask that they not judge us and we, in turn, do not judge them. Disciples of Christ need to have genuine charity for one another.
"...We need to reach out and extend our friendship to others regardless of whether they are interested in the gospel or not. We must not be too selective in identifying those we feel are worthy or appreciative of our attention. The spirit of true Christian fellowship must include everyone. Our understanding of the gospel should help us see clearly that all people are our brothers and sisters, children of our Heavenly Father." -- M. Russell Ballard
Whether or not they are interested in the gospel, we should show unconditional love through how we act and what we say. The Son of God -- the Savior of all mankind -- loves all men. He looks to each one of us to do the same.