I own both and like both. More importantly I shoot both. They each have their place and are not completely interchangeable. Right now the Eotech is on my AR, the CQT lives on the FAL.
Someone is bound to chime in with accolades for one of the ACOG variants. It is also a fine sight.
The CQT gets bashed a lot on Arfcom, but don't let that dissuade you. It does have a crappy mount and I'd be the first to agree, but buy the ARMS throw lever mount for it (same as you should for the ACOG) and it's OK. Mine mounts back up within 1 MOA; I take it off for cleaning every time. It also has short battery life, but it's not like you are patrolling with it for hours or days at a time. IMHO the glass is far superior to the ACOG and the circle-dot is great out to 200M, although I am partial to the triangle ACOG reticle. The CQT is also heavier, again this might not be an issue for you assuming short patrol and engagement times.
I wouldn't worry about FOV. Both sights ghost out pretty well at 1X. At 3x you don't care as much.
The CQT is a trade-off at CQB ranges, i.e. you are trading the speed of the Eotech for the availability of precision at 50-100M assuming you have the time to be that precise.
Where I thought the CQT really shined was in low light. With the Eotech more often than not you've got to use a light and leave the dot turned up. Turn the dot down too much and it gets washed out when you fire up the light. With the CQT dial up the magnification and dial down the reticle. Usually you can see just fine, if not fire up the light and the etched, backlighted reticle appears black and does not wash out. It is really sweet.
If you are always going to use a light, and 90% of your expected work is within 50M, get the Eotech. Otherwise consider the CQT.
No matter what, you should arrange to have trigger time on both sights, and let's throw in the ACOG, too, before making your own decision. Make sure that trigger time is at both 10 and 100M, and make sure that both 10 and 100M are run in daylight and low light. You will learn a lot and be able to make your own decision.
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