Native mobile tabstrips each have have their own set of views and history per tab. So for example if you are doing work on one tab, then click another tab, returning back to the first will show everything as it was before leaving. kendo mobile's tabstrip doesn't work that way. Clicking on another tab destroys the content in the previous tab. It should not do that! Rather, it should mimic the behavior of a native tabstrip.
Good idea, but would require a complete rewrite of Kendo UI Mobile, which is not something we can prioritize at the moment.
I would like to see if you can reconsider -- each tab having its own history is core to making things work like it would in a native app. It is just so sloppy when a user loses their state going between tabs. You are able to do this with the ionic tabtrip http://ionicframework.com/docs/api/directive/ionTab/ so i would hope kendo can too.