I was worried about that. I usually strip out all but the most important magic items from a D&D adventure when I convert them to Conan. The Hyborian Age is not about finding magical boots or rings of invisibility. If there's a magic item, it's usually epic in nature and typically very evil.
I also usually strip out all the demi-humans and many of the monsters, replacing them with more Conan-friendly alternatives. Sure, the evil Conan Sorcerer may have some lizard-men like henchmen that the mage has brought from the Outer Dark to serve him, but most of Conan's foes are human. Orcs become Hillmen, and the Orgre becomes a big, bad Brythunian Pit Fighter.
If the adventure rests on its magic item drops, then it's not a good one for me to convert. But, I can use some of the monsters. I probably won't use a gelatinous cube, but I'd definitely allow a wyvern to be stalking the wooded hills. I'll change a lot of the more fantastic creature encounters to more normal creatures, too--like wolves and bears and such. I might take an Umber Hulk and make it an over-sized mountain boar with piercing tusks. A dragon can become a dinosaur.
Typically, I cut down on the number of encounters, too. D&D adventures, I find, are sometimes just listings of one incredible creature followed by the next, sometimes just in the next room. I try not to do that in my Conan games.