This answer does not create an attorney client relationship between you and I. I am not your attorney unless we both sign a written contract that describes our relationship and terms of the representation. Any information provided to you here is not a substitute for the advice you need to pursue any legal matter. I advise you to retain the services of a local attorney before taking any legal action in this matter.
There are further details needed to know all about the property you both own and all debts, which is an inquiry your bankruptcy attorney can do, before filing.
After filing, it probably is too late, to make any changes, or recommendations.
If your inquiry is about your present wife's property, if she is jointly liable on accounts and other debts since you remarried, then yes, her property may be liable for such current debts, if her property is considered part of the bankruptcy estate.
In my districts, the wife's property is reportable as an asset, and may, or may not, become property of the estate.
You would benefit from conferring with an experienced bankruptcy attorney, to review your financial situation.
General legal advice is offered for educational purposes only. A consultation with a qualified attorney is required to determine specific legal advice as to your situation and applicable law. We are a debt relief agency and we help people file for relief under the bankruptcy laws.
First, it is not a certainty that a deficiency judgment will be entered against you. I would not recommend filing a bankruptcy case unless a deficiency judgment is entered against you. Second, if a deficiency judgment is entered against you, the judgment creditor cannot attach your current wife's assets, assuming that the assets are titled solely in her name. She is not liable for your debts. Third, if you file for Chapter 7 bankruptcy protection, the automatic stay will prevent the creditor from taking any further action to collect the judgment. The debt will be subject to discharge. I strongly suggest that you confer with an attorney.