A basic ingredient for understanding large-scale fluctuations in our present-day universe is the initial conditions. Using N-body simulations, we compare the clustering that arises from Gaussian and non-Gaussian initial conditions. The latter is motivated by a global texture model which has initial J-order correlations J close to the strongly non-Gaussian regime J2J/2. The final amplitudes SJ ≡ J/2J − 1 in the non-Gaussian (texture) model evolve slowly toward the (Gaussian) gravitational predictions but, even at σ8 = 1, are still significantly larger, showing a characteristic minimum with a sharp increase in SJ with increasing scales. This minimum, which is between 10 and 15 h-1 Mpc, depending on the normalization, separates the regime where gravity starts dominating the evolution from the one in which the initial conditions are the dominant effect. In comparing this result with galaxy clustering observations, one has to take into account biasing, i.e., how galaxy fluctuations trace matter fluctuations. Although biasing could change the amplitudes, we show that the possible distortions to the shape of SJ are typically small. In contrast to the non-Gaussian (texture) predictions, we find no significant minimum or rise in SJ obtained from the APM Galaxy Survey.