I know that one of the owners of Cisco Brewers on Nantucket doesn't drink at all for a similar reason.
Health should be the most important aspect of this decision.
I don't believe you should have to drink in order be in this business.
Does a heart surgeon have to have heart surgery to be a good heart surgeon?
As long as you have people in the company that know what they are doing... you should be fine.
Good luck and stay healthy!
Exhibit 'A' Brewing Co.
Framingham, MA USA
Filler of Vessels
Seller of Liquid
Barreled Beer Aging Specialist