Is it permissible to partner with someone who trades in alcohol in a permissible project, and is it permissible to accept his contribution from his other permissible wealth?

If the money is from unlawful sources, then partnership is not permissible. If it is from lawful sources, then there is no objection. However, if the matter is mixed, then there is no objection to the partnership, but it is better to avoid it. The more cautious approach is for the partnership to be in unmixed funds.