My company does not enforce a standard browser but iPad and Android Tablets would be expected for anything I adopt as well as the standard Windows browsers. I'm not aware of anything that works well everywhere and gives a nice experience which is what this framework tries to do so. Anyway I totally appreciate the work and understand the difficulties involved.
The support matrix for Enyo is here - http://enyojs.com/docs/platforms/ Opera Mini and mobile are just not supported.
You need to draw the line somewhere. 'Broad' support is good. 'Everything' support is futile, for the feature set desired in a mobile application framework, with the resources the Enyo team has.
Enyo is good at creating 'apps' - often things delivered in a PhoneGap-like container or something with defined browser support like Chrome Web Store.
Its probably not the general framework for any and all website development needing to support all platforms.