This argument can be made about nearly any anticompetitive monopoly, and that should not stop the government from deciding that, if the business can only exist in its current form, then the business should not exist.
You're not entitled to a business model if your business model is harmful.
What evidence do you have that their business model is harmful? As a consumer search seems like an extremely healthy sector right now with plenty of competition. Google just happens to be by far the best.
What exactly do you think is stopping you from using a competitor? Can you not find the setting to change your default search engine in Chrome? Is Google blocking you from making that choice somehow? All the arguments I've seen for Google being anti-competitive in this sector are extremely weak.
You're not entitled to a business model if your business model is harmful.