My experience with large organizations is that everyone thinks they're the best, unless they're far below average.

In a good company, engineers themselves probably deal with less politics than a startup, because there's a layer of management dedicated to filtering out the politics from the engineers.

You'll still have to deal with shit like several departments trying to push dependencies or accountability to another department. But the internal politics themselves can be milder.

The brand name companies (Google, Microsoft, etc) will also probably have much more politics as they attract competitive types. I'm sure these companies do a lot to filter, but things like this are very hard to filter.