I don't know YOUR sitch, but I have to assume your wife is walking away or for some similar reason you are really personally shaken up by your relative's actions of bringing the new gf around so soon? Not that you shouldn't be offended otherwise, but I am thinking this must be hitting to close to home, as well?
Anyway, my two cents...
Regardless of what we think of people's actions, don't we owe everyone the gift of not being judgemental? That doesn't mean we must befriend them, nor agree with their actions. But I mean just really really not being judgemental. It is difficult to do, but...doesn't everyone deserve that?
Please don't anyone think I am saying that we shouldn't judge our cheating spouses, or a drunk driver that ran over your mother. I am not talking about specific cases where someone has done something horrific directly to you. That goes above and beyond the judgemental scale anyway.
I just mean that, yeah, the guy is probably short-sigthed in bringing the gf so soon...but it is his life, he has made his choices. You can silently disagree without judging, without condoning, without anyone the wiser. And even if you are introduced to the gf, no one will be expecting you to be the person responsible for making her feel welcome in the family. You can get away with a quick hand shake and not another word all evening, I'm pretty sure.