myInitializer1.js

var publicApi = {},
    api;

publicApi.function1 = function() {
    // If you call api.myInitializer1.function1() everything should be normal here, callee, whatever...
};

publicApi.function2 = function() {

};

module.exports = {
    initialize: function(_api, next) {
        api = _api;
        api.myInitializer1 = publicApi;
        next();
    },

    start: function(_api, next) {
        next();
    },

    stop: function(_api, next) {
        next();
    }
};

Thank you, very handy!