Wow! It seems like she rooked the first dude for alimony, now she is going to rook you for half the equity in your house after a one year marriage. Looks like this girl is making a living out of divorce, please don't tell me that you are negotiating with her lawyer yourself.
Do you know if in her previous divorce agreement whether or not alimony was supposed to stop upon remarriage? Hint: if you knew that it was, and you filed joint taxes with her declaring the alimony, you are in cahoots with fraud that she is perpetrating.
A good attorney should be able to wrap this up in a few hours. Don't play the fool and think you can save a few grand on attorney fees and get clocked in the long run, which from what you say is looking like she is lining up to do.
Deciding to go forward with a divorce is kind of like joining a brotherhood. However, it is a brotherhood that you really don't want to join.