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In most states, a two year marriage isn't going to be long enough to qualify for any substantial amount of alimony, so there's a good chance your spouse wouldn't get any if they fought for it. The Judge isn't going to consider the overall length of your relationships, just the length of the current marriage.
Each state has different thoughts on spousal support, however, so it will depend on where the divorce is taking place.
If you do not agree to alimony and your spouse wants alimony, you are right, it is no longer an uncontested divorce. You would have to have hearings and possibly a final trial to finalize the divorce if they will not give up on their quest for alimony.