If you acquired the house during the course of your marriage then the home is marital property and she has an interest in it. On those facts, you can't sue her to take her name off. You say you are almost eligible for a divorce. Just wait until the divorce is final and the judge will take care of the house through equitable distribution. You should hire a family law attorney to represent you in the divorce to protect your interests.
This should be dealt with in the context of the divorce. In a situation of $0 equity and her name not on the the Deed of Trust (the mortgage), I would hope she would agree to do a deed of gift over to you. However, many time people are not so pleasant. So the Court will order the house to be sold which in your case in this market will likely create a loss. So you both will have to pay 1/2 half of the deficiency. You definitely need to consult with a divorce attorney in your area.
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