Anyone taking Remicade or any of the other anti-YNF meds should not get any vaccination containing a live virus. Also, being on Remicade makes some more susceptible to getting viruses. Live virus vaccinations are just that, live and potentially can be transferred from the receipient to someone not protected against the disease that has a compromised immune system.
I have had many of the diseases that children receive vaccinations against. I was not concerned about being near my friend's young child after she had her MMR because I have had all three of them. I know I carry immunity against ruebella because in the old days they tested your rubella antibodies when you became pregnant.
The best advice would be that of your physician. No harm in calling and asking.