My father is a green card holder with a single convicted criminal charge from over 30 years ago. Is it unsafe for him to leave the US right now?

Hey all. Sorry if this is the wrong place to ask, but I come here with genuine concern.

My father has had his permanent residency for about 15 years now. He had a single criminal charge held against him in the early 90s for drug possession, which he was convicted and served a couple months in prison for. He has not committed any crimes since then, and has been a law-abiding resident ever since with no issues. His conviction and imprisonment was reported when he applied for permanent residency. He hasn't even been pulled over in the 30 years that it has happened. My mother is a naturalized US citizen with no criminal history whatsoever. My siblings and I are all US citizens.

Our family is Mexican, and due to the actions of the current administration, I have concern that he might have issues at the US-Mexican border. My parents travel to Mexico twice a year and besides a short detainment of my father right after he initially got his residency card, no issues since then. He has been able to enter the US with no issues since then, even during the first Trump presidency. He wants to go back soon, but I told him based on his charge its possible that officers at the border will use it as an excuse to detain and send him to ICE for deportation proceedings.

Should my father avoid traveling outside the US during this currently tumultuous period? My gut feeling is no, because there is so much uncertainty regarding the current administration's policies. I plan to talk to him about pursuing naturalization as it would help him immensely with travel (among other benefits of US citizenship). I also plan on looking around for immigration lawyers who would be able to give me an answer after a short consultation. I understand that there is a lot of fear-mongering considering the current administration, but I just want what is best for the future of my father and family. Thank you for reading.