Is it Gods will for Christians to live an exemplary life?

Answer:
Yes. Matthew 5:13-16 You are the salt of the earth: but if the salt has lost its savor, how shall it be salted? it is thereafter good for nothing, but to be cast out, and to be trodden under foot of men. You are the light of the world. A city that is set on a hill cannot be hid. Neither do men light a lamp, and put it under a bushel, but on a lamp stand; and it gives light unto all that are in the house. Let your light so shine before men, that they may see your good works, and glorify your Father who is in heaven.