First, let me say that I'm sorry for all the trollish responses. Unfortunately, that's part and parcel when dealing with ASD, especially the high functioning end. You'll probably get a better response, and better signal to noise ratio, from an ASD-specific site, such as http://aspiescentral.com/ . I encourage you to ask there, as well.
Unfortunately, I was not diagnosed until I was in my 20s (Asperger's wasn't in the DSM when I was of prime age for someone catching it, and I'm a woman and considered "gifted," which made me even more likely to fall through the cracks of the system), so I didn't get the early interventions. However, I can share my experiences from *not* having those services available to me.
Without knowing to what level your son is Autistic, and without knowing him personally, it's hard to say whether he's benefiting from the interventions. However, I would say that they're likely better for him than informal playdates. Keep in mind, though, that he may be benefiting, but doesn't have a way to demonstrate his understanding. Additionally, he may benefit in the long run from the things he's learning now.
The problem with informal playdates is that they lack the structure needed for an Autistic child to learn from the encounters. Very often, such situations (as with school if a child goes undiagnosed or the school doesn't accommodate the child) result in confusion and stress, because the situation seems more chaotic to an Autistic than it does to a Neurotypical. Most Autistics have some level of sensory processing delay, and interactions such as playdates (especially if there is more than one other person) leads to the Autistic to get overwhelmed more easily and various mental faculties simply cease working as intended.
This sensory processing delay also means that social situations are going to always be a struggle in one form or another. Some of us can get fairly good at it, while others struggle for the rest of their lives. Even the best of us have our limits, though, before it starts becoming too much, so make sure you're not expecting the therapists to give him the social ease and grace of a neurotypical child. In other words, make sure your expectations are in line with what he's really capable of achieving right now.
Additionally, Autistics generally thrive on structure, routine, and general predictability. The intervention therapies help provide that, because they know how to handle the children who need it and can adapt to the child's needs. Playdates can't do that (however, more structured things, such as the suggestion in a previous response for martial arts, may work better, due to their enforced structure).
On the other hand, what is his schedule like? Does he have sufficient time to spend doing the activities that recharge him? Is he provided time to spend on his special interest or to do what he chooses, by himself? From the list you provided, it seems his schedule may be pretty busy. If so, make sure he has these times to himself, as that is when he'll process all that input he's received, as well as relax and unwind from all the stimulation. If it's not as busy as it sounds, then structured therapy and other activities (such as less structured playdates) don't have to be mutually exclusive. He can start to learn to apply what he learns in therapy to social interactions with peers -- ideally with someone who understands and accepts him and wants to help him.
That said, if you don't think the therapists you have access to are working, definitely consider different ones. Have you worked with your local school district? The public school may be a better fit for him than the private school, depending on availability of resources. For example, my school district has a great special needs program that is available free of cost to my son, and has helped tremendously.
Finally, don't necessarily get caught up in getting him to communicate or do things the same ways you do, but help him find ways to navigate the world in his own way. Technology helps tremendously on this front, especially for non-verbal Autistics (this article is a fantastic example of the kind of success he can have when able to navigate the world in his own way -- http://www.goldenhatfoundation...). It may very well be that you're simply using the wrong bar by which to measure his growth.