You can file for divorce and have your lawyer ask for a "status quo" order to maintain things the way they are until the court makes a ruling.
If neither of you is going to assert that you are married, you don't need to get divorced. That would leave the property issues unresolved. It could also create some real problems if you remarry, and she decides at that time to press the fact that you had a common law marriage and that your new marriage is therefore bigamous and void.

