Roman were pretty much known for their tolerance...
Roman society has been claimed to be totally colour-barless, or something.
Of course from the way they dealed with the jewish revolts you would probaly get the picture that the Romans were antisemitic, but thats not true... They dealt every revlot the same way.
EDIT: Oh, and the word barbarian was not a racial class, it only pointed out society's sadicism and social backwardness, and of course bad hygine ...
In a sense the romans had a uh,certain 'dislike' for unwhased and drunken germans. But, no, not really racism.