Note that Lavabit's battle was fought in silence; the first we heard about it was the announcement that Lavabit would be shutting down.
Assuming similar warrants to other companies would also come with gag orders, there is no way to know whether Google has tried to fight. The only way we would know is if Larry Page announced they was closing up shop tomorrow.
Similar arguments apply to every tech company. I am certain that {Google,Yahoo,Microsoft,Facebook,Twitter} has received similar warrants, and has filed objections, and has been given the choice of compliance or corporate death.
I'm wondering what could have happened if these corporations didn't comply? It's hard to imagine a headlines like "US Government shuts down Microsoft because of refused total surveillance order".
China is probably instructive. There have been cases where Google has directly defied orders from the Chinese government. The result was that Google ceased doing business in the PRC, followed by a cat & mouse game where Google routed all Chinese searches through Hong Kong, which has a different legal system.
People like to make a lot of noise about the power of multinational corporations, but historically, when a corporation has defied a government the government usually wins. The only exception is when there is a wide disparity in power between the corporation's home country and the government it's in dispute with, and the corporation's own government backs it. (Eg. the British East India company vs. China, Google + Facebook + Twitter vs. Egypt.)
The reason for this is that business requires a stable legal system to work. Without the government's backing, a business's customers could simply run off with its goods & services and the business would have no legal recourse. It becomes impossible to conduct trade when the organization with a monopoly on physical force says "It's open season on Google." (Indeed, relations between Google and China had been frosty for several years before the shut-down because the Chinese government overtly favored Baidu, and the legal system in China is such that you can't conduct any significant business without some bureaucrat's say-so.)
Assuming similar warrants to other companies would also come with gag orders, there is no way to know whether Google has tried to fight. The only way we would know is if Larry Page announced they was closing up shop tomorrow.
Similar arguments apply to every tech company. I am certain that {Google,Yahoo,Microsoft,Facebook,Twitter} has received similar warrants, and has filed objections, and has been given the choice of compliance or corporate death.