What is it, when people boycott a product or service, that they hope to accomplish? What are the end results of a successful boycott? There are two possibilities: 1) the person who is responsible for the particular product or service being boycotted loses so much business that he or she is forced to change or 2) the company is destroyed.
In the many definitions of the word "boycott" that I found online, the words "coercion" (see also Dictionary.com: "to combine in abstaining from, or preventing dealings with, as a means of intimidation or coercion"), "punishment," or "force" predominate.
There were several times when Jesus had the option to use force or coercion. The first took place when he went into the desert, after having been baptized in the Jordan River. There he was approached by an affable fellow who suggested three distinct ways in which he could apply his power toward eminently reasonable ends: the end to world hunger, ironclad self-protection, the adulation of all directed where it ought to go. Why did he instead choose physical hunger, vulnerability, and that most fragile and ill-used gift: human freedom?
Later, during his active ministry, Jesus could have either rearranged the thoughts of those who wanted to kill him, or he could have simply forgotten about them for a moment, and they would have vanished. Or think of what it must have been like, his body skewered to the wood by those iron spikes, and his enemies taunting him to save himself if he's so almighty powerful. And he was perfectly capable of doing so, of ending the torment there and then and showing those idiots whom they were mocking.
At the very least, he could have instructed his disciples to boycott the Pharisees, the scribes, and the Romans!
Or after he'd risen from the dead, he could have given some instruction on how to punish those who disagree with you and to force wrong-headed people to change their minds.
Could there be another way to respond to those with whom we disagree, or are coercion and punishment the only options available to us? Somehow, Christianity grew and became an international cultural phenomenon even while those who followed Christ had no power. Somehow, without coercion or punishment, those who came into contact with Christians were convinced.
In place of power, those early Christians had love. Christianity spread, like a raging fire, through envy. People looked at those early followers of Jesus and they wanted the same beautiful lives that they saw the Christians living. More than anything, Christians led attractive lives.
If we want to coerce and punish those with whom we disagree, it means we've given up entirely on Christ's method, which is attraction and embrace.