You should ask your Rabbi for a final ruling on this matter. For those wondering what potential issues there might be, and angles for leniency, @Alex posted that Rav Aryeh Lebowitz has a lecture on this exact topic. He discussed the issue with Rav Herschel Schachter, and provided four potential issues, and why they're okay.
The following is just a summary of ...
You'll find a good analysis and summary of positions here:
R. Ovadia Yosef [Shu’t Yavia Omer 1:11] is very sympathetic to the arguments of those who permit wine touched by mechalelei Shabbat.
• There are many contemporary poskim who take a strict approach to this ...