JT was cleared in court of racially abusing QPR defender Anton Ferdinand nine days ago.
"If we won't shake someone's hand then they see that and go into their Saturday and Sunday leagues and they won't do it either.
"They might feel that's OK because they saw us refuse to do the same on TV.
"A lot of kids love their football and watch us all the time - that's why we have to be good role models.
"That's definitely more important than political points scoring over an opponent."