I completely agree with James, although I would like to add a couple of points:
1) What you're apparently seeing as a weakness is indeed quite the opposite. In the world of Linux, the more diversity the better. For example, there's nothing stopping you from using Calligra and LibreOffice at the same time.
2) There are more than two "Linux worlds", which are actually called desktop environments. They may be the bigger ones for sure, but there's certainly a lot more variety out there. I encourage you to give other DEs a try to see if any of the options fit you better.
Try giving Duckduckgo a try. It is a good way to not only "un-personalize" your results from Google, but also to join results from Bing and Yahoo (and probably other search engines as well). Although I agree with Max that straight google tends to be better at finding exactly what I want on the first try.