Just two comments. First, this suggestion that you possibly would have been in favour of slavery or opposed to health and safety laws if you're against this, typifies the liberal steam-roller effect I've mentioned before. Liberalism really is an unstoppable steam-roller. It's extraordinary the extent to which people in this country reject a point of view simply because it is old, or perceived as conservative. Rational arguments aren't even necessary any more.
Also, there is a big difference between imposing legal measures on corporations and interfering with who they are allowed to have as their legal officers. In the former case, you'll find that businesses adjust to whatever constraints are imposed on them. So long as there is a level playing field, it's generally not a problem and in any case, business owners can make their viewpoints known (as they do). What this will achieve however, is quite ingenious. It is guaranteed by definition to succeed. Even if business owners are against this now, which of them will criticise its (gender balanced) board of directors afterwards? None will. Just like politicians having reservations about gender quotas in politics - as soon as that is brought in the criticism will immediately cease, because no party is going to rubbish its own selection of candidates, even if the process that produced it, was externally imposed.