Responses suggested using a different SEM package, MPlus.
In short, if you use the basic settings in your SEM program then you are attempting the equivalent of OLS Regression on your binary dependent variable. You'll get an answer, but predicted values can be less than Zero or greater than One. What you need is a model that gives you an S-shaped curve ranging from Zero to One, with predicted values effectively being probabilities of One. A Logistic Regression.
The discussion on Bayesian estimation and Categorical Response Models here is very good:
You just have to conduct a logistic regression. It is easy with MPlus but it is possible with Amos. See this link and this article: http://www.e-ijaet.org/media/43I6-IJAET0612656.pdf
Another way is to use R software (free and open source). All analysis are possible, especially with the package LAVAAN (http://lavaan.ugent.be/tutorial/tutorial.pdf): CFA, SEM, logistic regression... It is a little bit difficult at the beginning because the software design is totally different than SPSS, AMOS, LISREL or others. But finally, it is really powerful and adapted to every kind of analysis.
For future researches, there are a lot of different packages and impossible don't find one for your need.
You can use the SmartPLS 2.0 version - It is free! - go to the bottom of the download page. There you will find the link.
Going to your problema. You can generate a new construct in your model and should put the dummy variable in this new cosntruct. See the figure added. It is very simple.
You guys may read this paper. It's very helpful: Marketing research using single-item indicators in structural equation models https://link.springer.com/content/pdf/10.1057/jma.2013.7.pdf