I don't personally have a cat in this debate. I don't have either mod, but I do have a VooPoo Mojo which I recently received for a review. So far, I like the MoJo although I'd prefer it had an external battery over the internal battery.
I took the time to find the product descriptions of both devices online.
Visually, I like the aesthetics of the Minikin over the Drag. It looks like it would be more comfortable to hold and use due to its more rounded edges and contoured shape. I like the larger fire button. Comfort in the hand is important to me.
The Gene chip in the Drag has been compared favorably to a DNA. It will probably be a more battery efficient mod (95% efficiency) over the Minikin. I didn't care for the squared off edges of the Drag, not sure how comfortable it will be to use and hold in the hand. It reminds me of an older Innokin MVP with uncomfortable square edges I have. I don't like the smaller fire and wattage adjustment buttons; could be difficult to find when vaping in the dark.
Spec wise, the two seem reasonably comparable except for total wattage claims.
You're the one who will be using the battery device. You should make your decision based the criteria that is important to you.