Issue with page caching

Hi. I have a problem with hummingbird. I’ve spoken with support two times but with no result. If I activate case module the plugin shows to non logged users the mobile site views.

If I clear the cache with button happens the opposite: site is ok in desktop mode for all users but the mobile view stop to work (maybe conflict with wptouch pro?).

The only solution i’ve found is to deactivate page cashing but it slow down website as you can see in page speed or gmetrix.

I tried to deactivate hummingbird from the compatibility panel of wptouch but it does not work. What can we do?