Options and many other derivatives are not merely a casino game. Their unique role as financial instruments is to allow the transfer of risk from those who have risk and don't want it (hedgers) to those who don't have any risk and do want it (speculators). This is different from gambling because gambling by definition involves the creation of entirely new risk for the purpose of wagering; derivatives transfer pre-existing risk that will continue to exist anyway even if the derivative didn't exist. This is identical to the more familiar role of an insurance company in everyday life.
For example, suppose someone has a long term stock portfolio -- a classic fundamentals investor with a decades-long time horizon, the farthest thing from a casino style gambler you can find in the stock market. Maybe it's a pension fund or an institutional endowment. They very much do not want to take highly risky short term bets. They are only interested in safe, slow, long term returns.
But markets can only provide that in aggregate. In the short term, markets are very unstable, and individual stocks go to 0 if the company folds. The long-term investor thus constructs a portfolio of many small investments rather than a few big ones.
The portfolio manager has reason to believe that XYZ, one of the portfolio companies, is about to go bankrupt. This is not certain, but the stock has already begun to drop. If the stock drops to 0, the portfolio stands to lose a lot of money (despite continuing to exist overall because of diversification.)
The portfolio manager can buy put options to hedge XYZ. These give the holder the right to sell XYZ stock at a certain price, regardless of its current market price.
In this case, they function as a form of insurance. If the rumors are false, XYZ stock will bounce back up and the put expires worthless. If the rumors are true, XYZ drops to 0, but the portfolio manager can still sell his XYZ stock to the speculator who sold him the put option at a pre-determined price.
This is no different from buying fire or flood insurance on your house -- if the value of your house goes to 0 through disaster, you can in essence sell that worthless house to the insurance company for a predetermined price and buy another house. Options are the stock market version of that.
If you tax them more heavily, that will make them more expensive to use, which will discourage people from using them and arguably increase instability while decreasing growth in the stock market as everyone will be forced to carry the full value of any losses themselves, with less possibility for insurance.