What they said but...
I think you've asked a few questions and perhaps only had one (and a half) of them answered.
Perhaps to paraphrase you are looking for
1. A comparison between the two amps;
2. A comparison between the pre-amp section of your Onkyo and the Emotiva; and
3. Perhaps how to best mix and match.
First off, I am of that same conventional wisdom regarding amps (actually most electronics), speakers, and environment. Pauly and Zing have already commented on / raised questions regarding the last two. However with respect to the amps this is more of an apples and oranges question than most.
You're comparing a 5 channel amp (Sunfire) to a 2 channel amp (Anthem) in combination with the center and surround amps from your receiver. I think the very powerful Sunfire (which can handle some very low impedances - in case that's what your speakers will be throwing at it) will eliminate any question about "enough power" from your vocabulary.
In addition the Anthem is far more "conventional" an amp than the Sunfire - which uses Bob Carver's "tracking downconverter" power supply. My "conventional wisdom" that all "conventional amps" not driven beyond their power limitations, and which are not malfunctioning, sound essentially the same, might be stretched just a bit in this case. I don't think that there will be a difference in sound but that amp carries a much higher than usual distortion rating of 0.5%. Still very low / negligible. And while I've heard (and still use) Carver-designed "conventional" amps, I've really never put one of his tracking downconverter amps through its paces.
Regardless, I'd go with the Sunfire over the Anthem / receiver combo.
Comparing the Onkyo and Emotiva is also a little different in that the last is a just-released current-generation "budget" pre-amp. Compare the feature sets of what you have - with the E. In any case for $600 there's not a huge risk here. Personally I'd also seriously consider Outlaw's same-priced competitor pre-amp as well.
An Outlaw Model 975 and the Sunfire amp would make a very nice combo.
A big improvement in sound (at normal listening levels) over what you currently have? I doubt it very much.
Features and the ability to play just about any type of speaker at very high volumes is what the new combo would have.
Hope that helps.
Jeff