I am on Klonopin as well, the reason your p-doc treats drinking like a federal offense is that drinking on benzos can kill you.

https://newlifehouse.com/benzodiazepines-and-alcohol/

I used to have a drink every night but my habit has slackened to the point where I have maybe one drink a month. When I first started taking my medication seriously I set a two-drink limit of liquor for myself that I loosely followed. Within the last six months, I cut liquor completely and moved to diluted beer/wine (I have them over ice). Within the past month, I have found that the more seriously I take following my medication schedule, the less my body/brain tolerate any alcohol at all. Currently, I'm 12 days sober. I'm a career bartender and for a long time, I considered drinking to be part of my job. I've switched to tasting drinks/beer/wine.

I'm very torn about drinking until I remember how it made me feel the last time I imbibed. The less I drink, the more stable I feel. The more stable I feel the more I realize just how unstable I used to be. It's a feedback cycle that has kept me off alcohol in increasing magnitude.

If you have any questions about the specific effects of alcohol with regards to myself I can answer with pretty good detail concerning wine/beer/spirits.