Free Space Optical (FSO) communication technology has a data rate higher than other wireless communication techniques. Although FSO has enjoyed widespread notoriety for its point-to-point communication, the increasing demand of mobile platforms and multi-user communications requires considerable improvement over current FSO systems. Developing multi-point mobile FSO systems is highly desirable. To aid in this effort, the work presented in this paper details a solution for overcoming the Blind Source Separation (BSS) problem in a multi-user communication link. A multi-user FSO link with various atmospheric conditions that leverages the FastICA algorithm is detailed below. Experimental results have been obtained with a system composed of two transmitters operating at different wavelengths and two receivers. Results demonstrate that using this method, the original optically transmitted signals can be separated from their received mixtures, even during high turbulence conditions.