No and No.
There are some Tourbillon-reps, also IWC Tourbillon reps. But they are not even near the original watch, they are very far away and inaccurate. One short look at the Tourbillon and you'll see it.
Have a closer look to BigPilot, PliotChrono, Portuguese 3714, Portofino or Aquatimers, if you like an IWC rep. Ingenieurs I don't know, there are some but I don't know how accurate they are. But don't expect to get one of the very complicated watches you mentioned rep'ed. Read more about reps, IMO.
BTW: look for watches you can affort. It looks very funny driving a Polo e.g. and wearing a watch in the region of 90.000€. You can affort 90.000€ for a watch? Why buying a rep?!? ;-)