In SEM context, you can use AIC and BIC to compare non-nested models. However, note that there is some disagreement in the literature over the use of AIC for comparing non-nested models, as the original theory by Akaike was worked out for nested models only.

Compared to AIC and BIC, other criteria such as ICOMP (http://www.sciencedirect.com/science/article/pii/S0167947398000255) and other related work by Bozdogan are very useful.