In my case, it does not work. My Twitter account is “strictly business”,except for a few relatively innocuous sports, food, and VERY mild Orthodox Christian tweets (e.g., a few feast days, “Memory Eternal”, etc.)
If I would Tweet my political opinions, and/or strong Orthodox Tweets, etc. the main purpose of the account—business—would crash and burn.
You know, you CAN have more that one twitter account. No rules saying otherwise.
Maybe just open a second account?
Solution is simple in your case. Get a Twitter account for your personal self and keep it separate from your business.