Do not leave the home. In a divorce situation it is usually a big mistake to move out of the marital residence. We can speak directly if you wish and we can discuss the many reasons to not abandon the house. As for the debt, that would be divided in the divorce. Often, the debt is negotiated between the parties. Sometimes the debt is split evenly, other times it is used as a negotiating point for other things. Each case is different, so you would want to present all of the facts and circumstances to a good divorce attorney.
In a divorce, debt is apportioned between the two parties. You need a divorce lawyer who knows how to negotiate the best partition of debt.