Device emulators are not always detected by the responsive software. Sometimes it takes actual devices.
Sometimes, incorrect sidebox setup can cause issues similar to your description when the pages are reformatted on-the-fly for mobile devices by the responsive software
Curious.... Does the
All Business demo behave the same as your setup? I say that because it is much easier to use the demo than the time it takes to install in a test site and go through the setup.
FireFox/Tools/WebDeveloper/ResponsiveDesignView in the 768x1024 and 1024x768 seems to function without the issues you have described. Mobile screen sizes look and function OK.
That doesn't sound like a template issue.
Regarding my site. Android devices are a designers nightmare due to the huge number of screen sizes and other browser combinations. I think that issue was remedied in the latest Winchester_New update. I just haven't taken the time to install it. The percentage of users who actually have the issue due to the menu collapsing only occurs on a very small percentage of tablet devices (in the single digits). There is no issue in how the site "Looks" or "Best viewed with xxx browser". It is only the slimmenu functionality on certain Android devices.