I would not go. Not to prove any sort of "point" but just because it does not sound feasible for you and really just not worth the effort.
I think child-free events are just fine. I have always thought babies in arms were the exception but obviously some people do not know this. There are all sorts of reasons to have child-free weddings. I had one. Part because I was clueless but also because we got married right out of college and about half of the guests were in college or recent grads. It was going to be a drunkfest reunion and I was not comfortable with children being in the mix. Children were welcome at the wedding ceremony itself and the few people that approached us with childcare issues were informed of that the reception was going to be like (no kids food, boring, drunken people, late at night, etc....) and then allowed to make their own call. A few babies who would not be toddling around and in danger of being trampled did come. We also provided sitters although I understood even then that for very young children, that was iffy for most parents.
We have sat out many weddings and other events due to child care issues. Even now, I am not at all comfortable with a stranger watching my child. I just had to miss the wedding of a very close friend (dh was in the wedding party) because it was out of town and kids were not allowed. When i say out of town, I mean across the country. We have no one to leave dd with for a trip and although they provided "licensed child care providers" I knew I was not going to be OK leaving her with anyone I did not know and trust. I was sad to miss it and they were disappointed. But I did make it very clear I had no hard feelings and that they should not do anything special to accommodate us. Dd is very well behaved and has a lot of adult friends. She has been invited to stuff that other kids were not. That is even more awkward as the other parents are wondering why their kids were left out. Better to just skip it. Adult-only events are pretty rare and it is not a big deal IMO.
And when it works out, I really enjoy occasionally attending something where I do not have to witness a late-night-I-am-so-tired-tantrum or watch chicken finger and catsup artwork in creation. Just like kids sometimes like to have parties where they do not have to listen to discussion about the stock market or eat endive