Recently I was talking with a dearly loved brother in Christ about sharing the message of salvation. One of the things we discussed was "worldview". That so many people come from so many different backgrounds that to base our witnessing in the Bible is not as effective as it once was, and may not even be a good choice. That what is necessary these days is to start with the background ideas (that the one we are sharing the Gospel with) comes from. I think that the logic is sound, in that the Bible is so attacked these days, sharing it's truth as the source for authority seems like it would be ineffective. But, our logic does not determine God's truth.
In the Bible, Jesus gave a parable on witnessing that we are familiar with as the sower and the seed. And when Jesus defined that seed, He said it is the Word of God. In addition to this, God said His Word does not return void. Is this true? Of course it is. So yes everyone's "worldview" may make a difference in each individual's conversation - but, our message must be grounded in the Bible. Regardless of what our logic tells us.
1 Corinthians 3:7
So then neither is he that planteth any thing, neither he that watereth; but God that giveth the increase.