NJ Transit Route 317. This route no longer goes through Joint Base McGuire-Dix-Lakehurst so you don’t need to provide ID anymore.
In Philadelphia it stops at the Greyhound terminal, 1 short block from Market East Station with connections to all SEPTA trains except the Norristown line.
If you ask around you will find that there are rides every day, including people who commute and people who use the Philadelphia doctors and medical services.
Driving in a car from Philadelphia (the Overbrook/Merion area, where the yeshiva is) to Lakewod takes about an hour and a quarter.
Taking the R5 train to the Greyhound bus terminal and catching the bus to Lakewood takes over three hours. I’ve done it a few times. Also, there are no bathroom stops and the crowd on the bus is unsavory to say the least.