This might shead a little more light on the product.
Essentially, you are correct, this is like VSE for Linux. You are also correct that you would install the agent on a Linux machine and then you can configure your deployment tasks to deploy LinuxShield, much like Windows. The agent can't be pushed like Windows, you will need to copy the install.sh script to the machine, chmod it and run it. From that point you are good to go.