Should we merge technology departments with the science departments?
Rather than providing experience, let me add a bit to a way you can think about the issue and, perhaps, resolve it. 

You are correct that the scientific method, the mathematical method, and the computing sciences method are all distinct. So, experiments in the Chemistry sense are much less important and frequent in CS. However, there are some synergies, and the sciences can provide useful examples for the creation of programs and systems. Also, Computing can be useful in the sciences, handling Big Data, for example or executing theoretical models. 

I'd suggest three things to think about. 


Is this a bottom up (faculty driven) initiative or top down (administration wanting changes)? The latter is likely to be much less successful. 
Are the faculty already knowledgeable cross-discipline? It will be much less successful otherwise. 
How important is it to you to have pair-teaching (co-teaching, team-teaching) of several courses in your institution? Especially pair teaching with instructors of different core disciplines. Without that, I wouldn't expect a lot of benefit other than needing fewer "department chairpeople". 


Synergy is possible and valuable. But forcing it won't work very well.