I'm not sure about a rededication. The temple cult would probably look massdively differntly, but considering how lenient the Romans were with the Jewish tradition (compared to the druidic one, which they genuinely tried to exterminate) it's telling that most Gallic and British sanctuaries remained dedicated to their old deities. Rome believed in tradoition. Hadrian was planning to build a temple of Jove because the old one was gone, as far as he was concerned.
Of course, preserving the temple solves absolutely no problem. The Romans would still force a lot of people out of Judaea, and they might close Jerusalem down as per OTL. They would need to install some kind of temple service, and the old sadducee families (or what's left of them) recommend themselves. Many of them hadn't collaborated with the insurgents. But their legitimacy would be dramatically reduced. You'd still see a development akin to rabbinic Judaism, but there would be a competing claim which would weaken the disapora schools. And of course, the hardliners still hate the Romans, and now, instead of a sense of utter defeat, have a temple to retake and cleanse and another Makkabi to find.
Bad idea.