I do agree that the infrared lamps might do the job, but I wouldn't use them to warm the rollers, since it could possibly warp them I believe, or effect the silicone in some way. Perhaps if you simply set up a warming area with a couple of lamps and let the laminated print sit under them for a specified period of time, that might work quite well. Not sure of this would work with infrared lamps, but you could also try them on a dimmer switch to control the heat output somewhat.
My thought was to regulate the heat primarily through the distance from lamp to rollers, and use an infrared thermometer gun to monitor the temperature of the rollers, which I would try to check for consistency over both time and side-to-side across the rollers. The basic E27 lamp(s) are round in the dish, so won't spread heat equally, but we'll see how it goes. I think it's worth a try. The lamp(s) would be hanging securely in a wire above the laminator, so safety should be fine (they are used to hang over chickens in a barn, so one would hope it hangs pretty safely, and I would be there all the time). Not more unsafe than many studio lamps.
I wouldn't apply any aggressive heat to the silicone at all. Just gently warm the area above the machine. I would think it would require a significant temperature to affect the rollers negatively. More than the chicken lamp will do.
Thanks for the idea of post-warming the laminated prints. That I'll try as well - perhaps giving them another roll once heated a little.
The roller pressure I will also experiment more with.
Here's what I had in mind: