I think the easiest way of making this work on phones would be to put the data into a format similar to battlescribe, if you haven't tried it you might want to take a look, there is a free version of the phone app. Sadly there doesn't seem to be a data file for Warmaster yet but it works well for Warhammer.
If you wanted to use your online version as a mobile app I think it would mean splitting it into more screens that you can toggle through somehow but that sounds like a lot of work. For now the current version works ok and I don't think it would be worth redoing unless you have the time and energy to make it into a 'proper'
Phone app