So like I said, either a heavy trigger or a manual safety.
I won't carry a gun with a manual safety. Especially something with a tiny low profile safety that you aren't really supposed to use.
I used to carry Glocks and 1911s. I also compete with both. I will occasionally, usually after shooting the Glock a lot, forget to swipe off the safety on a 1911. Its happened to me in matches. I don't want to risk doing this under pressure.
So for me. Unless I want to commit to carrying only guns with manual safeties, I'm not going to carry any guns with manual safeties. But if you are going to carry a gun with a manual safety, it had better be a good one. I'm talking about something real like on a 1911 or FN FNX.
Not a little nubbily bump of a safety that you don't stand a snowball's chance in hell of getting off under pressure.
Carrying with it off is also bad. Because it can still be put on accidentally. And then if the poop hits the turbine, you are in even worse shape. So if the gun has a safety, you MUST practice putting it off with every draw.
end of rant.
Or, a simple solution, since you use both Glocks and 1911's. I always "sweep off" the "safety" on everything, since I have some with safeties (i.e. S&W Shield) and others without (i.e. Glocks). As I draw, I always give a "sweep" in case it a model with a safety, even if it is something without.