Hi H.,
I am sorry to hear about your situation. I know how hard it can be first-hand when people judge your children, and henceforth your parenting ability, in a negative nature. I myself am the mom of four, the youngest two who have very spirited natures and all four with strong wills.
I agree with what many of the moms below are saying. Accidents are accidents, but most can be prevented...that's why now you see more and more daycares/preschools have an "incident log" rather than an "accident log." Vigilance is dutifully important; however, if it is constantly leaving you feeling "drained" you may be becoming oversensitive as a result of your negative experience
Sensory integration issues can be a pain. With my oldest son we had Birth-to-Three (you have a similar program in MA called Early Intervention; Google "Massachusetts early intervention" to reach the website) coming to help with his communication delays and noticed how active he was--constantly running, jumping on you, playing with things like cat litter and water, always asking for the radio--and asked my permission to have him assessed by the occupational therapist on their team. She came in; sure enough, he was seeking out all these sensory behaviors because he was having sensory integration issues. Basically the part of his brain which processes the senses was getting a little confused (and frazzled) with all the input from his surrounding environment. As a result he was having a tough time just to get through his day. We worked with things like "pillow hugs" (squishing him between pillows), a sensory brush (or a "corn silk remover" from Linens N Things) and water play and, of course, outside play. These activities helped his brain learn how to decode the information from the stimuli being thrown at it. At 4 1/2, he is still quite active, but no longer to a destructive point.
If you are worried about your parenting abilities (and, like someone said before me, you should be or I'd be worried...we all should be or it means we aren't open to growth and change) just remember to be consistent, and make sure Dad is consistent too. Have a written list available if you need to so you can reference it. Also, if you, along with any other caregivers, aren't on the same page with discipline and consequences, it will be utterly confusing for your little ones, so share this list with your husband and anyone else who cares for your children.
I agree with the comment below that we sometimes allow little boys to do things which we wouldn't allow little girls to do (and vice versa), and we shouldn't. Hitting, in either ex, is not appropriate. Wrestling is not a good idea for either sex at such a little age because it encourages violence. When they have the need for physical play, let them run in the back yard, play parachute with them, take them to the playground or some other large motor skill (big body movement) fun like that. When they get a little older I think a trampoline (with the safety net around it) would be great fun for them.
By the same token, don't be afraid to introduce some "girly" things into your home full of rocks and blocks. A toy kitchen setup is one of the best ways to foster vocabulary, pretend play and communication skills in young children. Baby dolls help little ones learn to be gentle along with fostering their pretend play skills--and my active little guys love their "babies" and really get a kick out of taking them for a walk in the play stroller, diaper bag on their shoulders and all :)
Later on preschool and kindergarten will help them develop longer attention spans, personal space and interpersonal (person to person) boundaries. So, even if you feel like tearing your hair out now, rest assured it will get better. Above all, just try to remember that every child is different and yours are very much precious gifts from God. Love and cherish every bit of their spirited, loud, rough-and-tumble selves, because one day you will blink and they'll be grown. And remember, too, that little boys are noise covered in dirt ;)
Hope this helps,
M.
P.S. If the playgroup shunned you because of the accidental actions of a two-year-old, you should find another playgroup.