I had the same concern in May of 2017 when we made the climb to just over the 12,000 foot mark with our Adventurer 80RB on our Ram 2500HD (the last bit was still closed for snow removal). A bit to our surprise, the 6.4L Hemi didn't break a sweat and simply breezed to the top effortlessly. Engine temps never broke 212 degrees and RPM was very moderate due to the posted speed limits of roughly 30 and 25 mph. It was 79 degrees at the entrance station and 39 degrees at the top with wind gusts to 45 mph. We never noticed any effect from the wind at all. I'd have to say it was "a walk in the park". Our climb and decent is available in our YouTube video. You can check dash data read outs at various points. It truly was effortless and removing the camper as some had suggested would have been a complete waste of time and effort.
I'd recommend making the trip in the early morning as the wind typically doesn't kick up until the afternoon.
Pikes Peak in our 2016 Ram 2500 and 2016 Adventurer 80RB