A little more than a week ago, New Jersey got a record new state budget that spends $56 billion of your money. While Democrats lauded it, Republicans said it spends way too much. And good-government groups charged that once again, state leaders rushed it through at the last minute, avoiding public scrutiny. Now, a former top Democratic lawmaker running for governor says there’s got to be a better way to do this. Looking to give his bid a jolt in what is already a crowded race, former state Senate President Stephen Sweeney on Monday released the first major policy proposal of his campaign, call…