The premise of this post is based on ignorance. If the levaya would have been held in Lakewood, the entir Lakewood Yeshiva would have gone. However, the levaya was held in Israel. What do you want, that everyone in Lakewood should buy $2,000 tickets to go to Isael for the levaya??
Unless your question is, why didn’t everyone in Lakewood “just do something”? Something – anything – to show what exactly?
Do you want everyone in Lakewood to bang their heads in the wall in honor of Rav Ovadiah Yosef? Do you want them to do somersaults in honor of Rav Ovadiah Yosef?
“Doing something” is not a Jewish concept.
There were hookups in Lakewood for the levaya, just as there were hookups for Rav Elyashiv’s levaya. There will be hespedim for Rav Ovadiah Yosef, just as there were hespedim for Rav Elyashiv. But to answer your question, no, nobody will be doing somersaults in Lakewood in honor of Rav Ovadiah Yosef.