Tested w/ latest version of parse "parse-1.2.7.js"

tiparse.js

var TiParse = function(options) {

    // need to convert this to requires
    Ti.include("parse-1.2.7.js");

    Parse.localStorage = {
        getItem : function(_key) {
            return Ti.App.Properties.getObject(_key);
        },
        setItem : function(_key, _value) {
            return Ti.App.Properties.setObject(_key, _value);
        },
        removeItem : function(_key, _value) {
            return Ti.App.Properties.removeProperty(_key);
        }
    }

    Parse._ajax = function(method, url, data, success, error) {
        var options = {
            success: success,
            error: error
        };
        
        var promise = new Parse.Promise, handled = !1, xhr = Ti.Network.createHTTPClient({
            timeout : 5000
        });
        xhr.onreadystatechange = function() {
            if (xhr.readyState === 4) {
                if (handled) return;
                handled = !0;
                if (xhr.status >= 200 && xhr.status < 300) {
                    var response;
                    try {
                        response = JSON.parse(xhr.responseText);
                    } catch (e) {
                        promise.reject(e);
                    }
                    response && promise.resolve(response, xhr.status, xhr);
                } else promise.reject(xhr);
            }
        };
        xhr.open(method, url, !0);
        xhr.setRequestHeader("Content-Type", "text/plain");
        Parse._isNode && xhr.setRequestHeader("User-Agent", "Parse/" + Parse.VERSION + " (NodeJS " + process.versions.node + ")");
        xhr.send(data);
        return promise._thenRunCallbacks(options);
    };

    Parse.initialize("Application ID", "JavaScript key");

    return Parse;
};
module.exports = TiParse;

Try and route out parse-1.2.7.js - new versions have some elements that do not get "titaniumified" by this script.

updated gist here http://bit.ly/16rKE77 this should work with the most recent version of the parse SDK