I've thought about your problem and I'm still not sure I know what it is. You've told us the configuration of your system and that its the heresy(large woofer, midrange horn, tweeter horn) that you feel beats out your system. There are several things which could be involved.
1. You've not defined "integration" for you. Does integration mean the sound that comes from a horn system?
2. You've not indicated your amplification system. Mine uses nearly 1300 watts RMS total. Your system may be way way way less efficient than the heresy's and you could actually be hearing a lack of power that provides less impact and thus perceived less integration. I agree with Thylantyr that systems run on less than 1000 watts won't give you the resource you need.
3. I'm not sure that the Foster's are the best midrange to use with the Dayton neo's and I personally believe that they are stretched too thinly to cross any higher than about 1600, and the neo's can't go any lower than 2400 on a 24 db slope. This would make it seem as if you had separate speakers and a drop out in the critical 1600 - 2500 midrange area.
Marlboro