On paper there are some philosophical similarities but I ended up having a negative experience and impression of Buddhism after being a serious practitioner for almost 4 years and started training to be a priest. Imo it's ultimately very idealistic and I personally wouldn't be able to reconcile the two without discarding enough of the practice that it didn't resemble Buddhism much anymore.
But my experience with it was as an authentic imported organized religion. As part of training to be a priest I was taught secret mudras, mantras, and visualizations that I'm supposed to keep secret because they're considered dangerous for people who aren't ready, for example.
I also witnessed all of the non first year attendees perform a devotional practice of doing 1,000 full body prostrations a day (in a row with basically no breaks) for three days in a row. People's knees were bleeding through their robes. There was a lot of stuff like that which ultimately really turned me off from Buddhism. This was all Tendai Buddhism by the way.
The training was very much like boot camp and designed to break you down and mold you differently. Sometimes when I'm drunk I still feel like I need to return to it and will start reciting sutras and wanting to reach out to the temple, even though it was 14 years ago, then wonder wtf I was thinking the next morning. Luckily that almost never happens now.
I guess I'm writing this because most people's experiences with Buddhism in Western countries was very different than mine. Many people see it as a secular practice but that was not at all my experience.

I’ve heard from a Tibetan Buddhist regarding bad karma one should simply observe whatever bad happens to them and accept that past karma caused it. While dwelling and judging would only cause more suffering, you should take it as a sign to commit to the path and do a lot of positive actions for others, which would result in less personal suffering. Bad events and hardships are seen as teachers, not punishment. The only time I’ve heard talk of Buddhists hurting themselves is a monk cutting his flesh to save someone else and it was an example of how to see whether one is nondual because the monk was like “welp, I guess I’m not fully enlightened. This kinda hurts.”