Is this [really] the solution for building cross-compliant applications for web-browsers?
When you program in Cappuccino, you don't need to concern yourself
with the complexities of traditional web technologies like HTML, CSS, or even
the DOM. The unpleasantries of building complex cross browser applications are
abstracted away for you.
extjs is a library and Objective-J is a new language. It is different in many respects. extjs might be good library to have with existing frameworks but if you are building something really complex UI on the web you are better off with Cappuccino.
It definitely is one of the better solutions out there. For most parts it does work across browsers without any major issues. The only problem i have seen so far with cappuccino is that sometimes with slower browsers like IE the application seems less responsive.