We run Wiltshire Horns, Herdwicks and Coloured Ryelands and, outside the tupping period when they are with their respectve rams, they all share the same grazing at times with no problems at all. Actually it is quite funny, since generally speaking they will be in three distinct groups (lambs tend to mix more until mums tell them to stop fraternising!) and simply ignore each other. As has been said, plenty of trough space for feeding and there are no real problems. The coloured ryelands are quite willing to push a Wiltshire away, and a Herdwick simply climbs over the top (or through the legs) to get to the front. Never had an injury at all - they are more likely to fight with their own kind if they feel inclined.
I was very cautious about the rams, but over the past year have kept my mature rams together in the field with no problems (the lamb rams all go in together after weaning as a routine with no problems). As with the ewes they tend to stick to their own kind. We had 3 coloured ryeland rams weighing between 80 and 110kg and out Southdown teaser ram (wethered) at a 100kg and out wiltshire ram at 130kg so they could do each other a lot of damage. Most of the barging is between the southdown and the ryelands but it never seems to come to anything other than a sore head. The Wiltshire just ignores it all and the other don't seem inclined to mess with him (neither will I to be honest - he is a real pussy cat once on a halter, but getting a halter on him is entirely down to his decision as to whether he wants to play ball!).
Bottom line, you will get a few tiffs between the different breeds but keep an eye on them for the first few days and be ready to pull out anyone who seems unusually aggressive. Perhaps I am lucky and mine are all fairly good natured. I was told to never put two wiltshire rams together, but I have four yearlings in the field at present and they get on very well together.
Never had any experience of anything with forward pointing horns and I could see how that could easily turn nasty. Persoally I am more wary of my wiltshire ewes, their horns end up pointing forwards at the bottom and they are just the right height to get you in the thigh! The rams are fine as soon as the double curl starts and takes the point more backwards facing.
Bottom line is I think it depends on the individual sheep concerned more than a specific horned vs non horned thing.