How will my home be divided now that he wants divorce?

You will need to get to an attorney and it appears that you might be able to claim a special equity in the home.

If there is no agreement this is an issue for the judge to decide. You need to ensure you ask for "unequal distribution" in the Petition as to equitable distribution.

If the deed is in both names then is is presumptive a marital asset so the burden of proof is on you to prove otherwise.

There is a rebuttable presumption that the home is a marital asset subject to equitable distribution by the court, because it was purchased during the marriage, and is jointly titled. However, you may be able to rebut that presumption and argue that it is a non-marital asset because it was purchased and paid for entirely with non-marital assets (the inheritance), and was jointly titled strictly for estate planning or other reasons, not intended to be a gift of a half interest in the house. You will need an attorney, as this is not generally something most people can successfully do on their own, and there are statutes and case law authorities that will need to be presented and argued to the court.