If you want to remove the style switcher from home page you need to remove some simple codes from your template file. simply follow the instructions below
Step-1: Go to templates->tp_knapsack->tpls
Step-2: Here you can find the all template files (Each file has the style switcher code)
Step-3: Open the default.php file
Step-4: Remove the following code from default.php file
Once you removed the above code, Home page style switcher will removed If you are not familiar with this process send me your site login details to support@themeparrot.com, i will help you to remove the style switcher from your site.