Yes, he had the desire to show the Jews GREAT miracles but because of their unbelief, he could not. The Savior is always willing to give us the "best" but because our faith sometimes is so small or we plainly don't believe, he cannot give it to us. Just as he said "Give not that which is holy unto the dogs, neither cast ye your pearls before swine, lest they trample them under their feet, and turn again and rend you. ".
Some Jews did see great miracles. Not the majority as in the Book of Mormon, but there were great miracles and they were witnessed. The apostles certainly saw great miracles, as did his followers. I believe, it is because of these great miracles that Christianity survived at all after the crucifixion.
Now, perhaps the reason that the majority of the Jews didnt' recognize what they saw as miracles has to do with the fact that they were living a more sophisticated life and so they were less humble to begin with so they weren't as receptive.
I agree in part with you funbikerchick, but if a person does live a sophisticated life that doesn't mean that they can't be humble. I think better wording for how the Jews lived would be discribed by a term used in the Book of Revelation the word is Nicolaitans, they were a group of people who wanted to belong, but at the same time they wanted to be part of the world. This term is what I believe best fits the Jews at Jesus' time. They wanted to be part of the Religous community but at the same time they liked to party with the World.
After the destruction of their world, the Nephites and Lamanites were humbled to a point that allowed the saviour to show them things that the jews could not because of the Pride of their Hearts. IF Jesus would have been born over here and appeared to the Jews after his resurrection I believe that the Jews would have been shown more miracles for they would have been humbled sufficiantly.