pedal strength and breaking?

I don't know how this got stuck in my head a week or so ago, but it's haunting me.

I'm a heavy dude, and when I approach a stop, I often put ALL my weight onto one pedal and I drift to a stop standing up. I can't get it out of my head that that's a lot of force on the pedal and pedal post. What are the chances I'll break the pedal? If I break the pedal, I'm screwed -- that's not a fix I can do on my own, unless I carry an extra pedal with me everywhere.

Am I just obsessing here? Do others drift to a stop standing their weight on one pedal?