I don't think you'll gain much from re-skuing products. You'll lose all your reviews and ranking, and at best will get a few months until the counterfeiters find the new listings.
Also, you can't fully close the old ones, so people will still sell on them, there will be multiple search results, bad customer experience, etc.
The better approach is to go after the sellers through Amazon, send infringement notices, etc. Might take some time, but once done they'll be gone forever.
If you'd be interested in having a conversation with me about these issues, we can set something up, email's in my profile. I'm heading back from the ASD show right now and I'll be swamped for a few days but email and we can work something out.