I suspect that when you refer to ideologies, you are thinking of politics. In principle, creativity or one's ability to find new patterns, to be capable of divergent thinking and, say, to get out the "box", the status quo or the mainstream does not need ideologies. This aspect notwithstanding, we can say that, for example, democracies allow people to be more creative and innovative than dictatorships. By definition, dictatorships want people to think the same and do not allow the existence of different political parties. After all, they want conformist people or people that accept ready made or established truths imposed on individuals from outside.
I am a developmental psychologist acquainted, for example, with Piaget's thinking. It is alleged that once he was alsked to say what one needs in order to be creative. His reply captured my attention. Here it goes,
(1) If one wants to be creative, then s/he cannot desire reading all that was published in the domain s/he wants to be creative. If this were not the case, the individual at hand would spend all of his/her time to read the previous literature. In addition to be impossible, this reading would not leave free time for the focal individual to have time enough to think about something original and creative.
(2) If one wants to be creative, then s/he should read a lot about the fields related to the one where s/he wants to be creative, For example, Piaget was a famous epistemologist and psychologist. However, he knew a lot about sociology, logic, biology, physics, mathematics, philosophy, and so forth.
(3) If one wants to be creative, then s/he should have, say, a "conceptual enemy", and hence to propose a theory or a set of hypotheses subject to be falsified. It is often said that if we want to get ahead, we have to have a theory or even a metathory. As you know, all the great creators, geniuses for example, proposed news ways to look at the world. In a nutshell, creativity does not need a political ideology to sustain, but it rarher needs a new theory and a new way to think, act, and feel.
Creativity may only need luck/chance, necessity, and repetition, perhaps: when populations migrated towards the land around Eufrat and Tigris, they discovered, quite likely by some chance, how to cultivate the land, and domesticating the animals. It was not an existing plan being laid out, it was trial and error.
Creativity needs a lot of things, perhaps at the forefront, a willingness to risk failure. To follow Michael's example, this migration could very easily have resulted in extinction of the race. In fact, the opposite occurred and mankind made giant leaps as a result. A quote from Creativity Inc. (a beautiful book) suggests we should fail often and fail quickly. We are bound to make mistakes anyway so maybe better to do them quickly so there's still time to recover after. Obviously this doesn't work in all industries (I certainly hope this isn't the mantra of any airline company) but since we're on the topic of creativity, it is certainly worth considering.