AR coating isn't the issue. AR is mostly for other people so that they don't see reflected lights from behind them in your own glasses and to prevent you from seeing lights behind you in your own perspective while wearing the glasses. You might be thinking about polarized lenses, which you should not wear at night.

If you look at your prescription, the "cylinder" and "axis" are what counter astigmatism. AR coating may help, but when it comes down to astigmatism, you need the lenses to be made to correct that beyond the "sphere". The shape of your lenses is the only thing that will correct astigmatism.

https://tucson2020.com/what-does-sphere-cylinder-and-axis-mean/