One we exposed to CP at age 2, because that's when we found it and it worked with our schedule. She had a very mild case, and has great antibodies. Natural immunity is found to be longer lasting than vax immunity.
That said, the other child we couldn't find CP in the wild before he needed titers or vax for preschool (and I did not want to go through the waiver process over one vaccine that I'm not specifically opposed to, I'd just prefer it naturally), so he had the vax. He had no reaction to it whatsoever. However, he had an unintentional exposure a few months later, which was fine by me. (Sort of classic Murphy's law--find no pox, get vax, 3 months later get email from the church that someone had it unknowingly the week before). I hope to expose him to natural pox a few more times during childhood as well, to hopefully help his immunity, and we'll get him boosters or at the least titers at 10 and before he goes off to college. I would prefer for both kids to have good immunity to it when they are older, and be able to travel to England and non-CP-vaxxing-countries without worrying about their immunity to it.
Everything else on the schedule both children got, on a slightly spread out schedule, but they were caught up by age 3. At 2, they were no more "dangerous to community health" than an 11.9 month old who hadn't yet had the 12 month old series of shots. And without CP vax or titers, they also weren't any more of a danger than your average tourist child from Norway, Denmark, or England, where CP is not part of the vaccine schedule.
Many European countries have debated and decided NOT to require CP vax, because of the problems it causes for public health. Less natural boosting of people's immunity from exposure in the general population has caused shingles in the US to become a problem for 30-40 year olds rather than 80-90 year olds. In countries that don't vax for CP routinely, it's still a disease of 80-90 year olds.