Yes, I think they will work great - I use Rega Saturn with Ikon 6 mk1 - fairly similar combination.
Ikons are fairly laid back as far as speakers go (indeed I think they have somewhat understated bass) and Rega CDP have quite strong bass and great timing - so that would work very well together. However, if my experiences are anything to go by, you will also need to have a gutsy and fairly energetic amp to use with them - stuff like Naim, Nad etc. otherwise you might end up with a sound that's too warm. Not heard your Emotiva gear, though, so I couldn't offer an opinion of how it would sound in this context.
Hope that helps!