I've built a few extensions to inputs and the best (arguably) only way to extend existing ngModel bindings is using the ngModelController in your directive. You can require another directive's controller by using the "require" property. The documentation for ngModelController is here
This will allow you to get/set the model values as well as extend or replace the validation behavior as needed. Because you are now probably extending in combination AngularJS input directives you will also probably want to look at the input directives inside AngularJS for examples of how this work. They also can work in tangent with the ngFormController as a parent for the whole form. This took me a while to grasp so be patient but it is by far the best way to do this.
I would avoid isolate scopes here, they can be tricky, don't always play well with other directives (so typically only use it on new elements or things where only one directive will exists on it's own). I would design something like this:
return {
restrict: 'E',
template: tpl,
replace: true,
require: 'ngModel',
link: function(scope, element, attrs, ngModelController) {
// Use attrs to access values for attributes you have set on the lement
// Use ngModelController to access the model value and add validation, parsing and formatting
// If you have an attribute that takes an expression you can use the attrs value along with $scope.$watch to check for changes and evaluate it or the $parse service if you just want to evaluate it.
}
I recommend getting as familiar as you can with directive design as custom inputs can get pretty tricky depending on what they do (we have built custom inputs that add +/- buttons as well as ones that format numbers as percentages, currencies or just numbers with commas while you type into them). Aside from the ngModelController docs these are useful to review: