Montezuma's Return

Montezuma's Return is a fantastic and, sadly, little known game that was released in 1997. If you haven't played it, I wholeheartedly recommend you do so. A sequel to Montezuma's Revenge, it's truly one of a kind in that it's basically a first person platformer.

It runs on the UVision engine, owned by the company that made the game. AFAIK, this is the only game in which it was used. For its time, it was quite advanced. See for yourself:

This video is in poor quality, but at 1:43, the player grabs ahold of a trapeze that rises and allows him to reach the bouncing pads. Also, look at the rotating platforms at 2:00: http://www.youtube.com/watch?v=Woj3GWH5EQw&feature=player_detailpage#t=1m43s

And look at this rather inventive physics-based puzzle at 3:52: http://www.youtube.com/watch?v=RP0jfKsJJKQ&feature=player_detailpage#t=3m52s

And this part with the turtles at 4:30: http://www.youtube.com/watch?v=HPbMFpYEAUY&feature=player_detailpage#t=4m30s

Also notice that the player actually has a body, and it's not just a floating eye.

Now, my question, for those knowledgeable in 3D engines, is: If I wanted to create a TC with these features, what engine from around the same time (that's still used today) would you recommend to do so? Would it be possible in the Quake engine?

I've heard of this game. But I like games where I see over the butt of my gun and kill crap with blood flying everywhere.

I remember the demo of this game being pretty much the best demonstration of what my 3DFX Voodoo 2 card could do. I suppose you could call it a proto-Mirror's Edge sort of game, since it's more dependent on platforming from the first-person perspective with combat as a mere diversion. Unique idea, but I recall the controls being a bit weird.