I dont think its appropriate to attach Rav Carlebach, but that would also include other Rabbis also, including Rav Ovadia Yosef, and those who are agains't Doom for attacking Rav Carlebach shouldn't be the ones who attack another Rav.
About the Rabbi hugging women, I would assume it is not true, probably made up by someone who wants a justification to hugg and touch women and claim that an orthodox Rav did the same. And by the way if it was true it is not allowed 100%, even if it will bring another Jew closer to Judaism, that im 100% confident about, because one cant make a sin in order to make a mitzva, and Rav Mizrahi did talk about this strongly (the video that was unfortunatly taken off) where he did speak out agains't those party organizers who make all these hannuka or purim, mixed parties (men and women dancing together, and even soo much worse off in a shul), and its a very very big sin to make these parties, to promote them or to even go to them.