Certainly not! I do business with plenty of people that I disagree with. So do you, no doubt.
This is a classic (i.e. "really old") line of argument against political activists. To testify to that, I give you MIT's most (in?)famous political activist, Noam Chomsky:
As to how I tolerate MIT, that raises another question. There are people who argue, and I have never understood the logic of this, that a radical ought to distance himself from oppressive institutions. The logic of that argument is that Karl Marx shouldn't have studied in the British Museum which, if anything, was the symbol of the most vicious imperialism in the world... But I think Karl Marx was quite right in studying in the British Museum. He was right in using the resources and in fact the liberal values of the civilization that he was trying to overcome, against it.
Remember, the goal of an activist is not to throw the baby out with the bathwater. The goal is to convince the baby to join the activist's side. Which you accomplish by living inside the baby's culture, appealing to its better nature, and using all the tools at your disposal, including the baby's tools.
It's not as if the whole idea of Google is fundamentally evil. It's a few specific aspects of Google's business practices that Cory dislikes -- aspects which, he might well argue, could easily be reformed without significantly affecting Google's prosperity.