... and indeed one or two other secular writers from that era, the Jews did believe that Jesus performed miracles, but did not believe that the source of his power was God.
I do not believe there are any 'secular' (i.e. non-christian) writers that are contemporaneous.
The nearest are Tacitus, writing 80 years after the purported events, Josephus writing just before 100CE, Pliny the Younger from 110CE and Suetonius around a similar time. Noe are contemporary and mostly their contributions tell us that early christians existed (well we knew that anyway) and that these early christians followed someone who was reported to have been executed (Tacitus). Josephus basically tells us nothing more, once you remove the sections considered by serious scholars to be obvious later christian interpolations.
I think all mention that early Christians were persecuted.
As far as I am aware none of these writers (excluding the later Christian additions) mention anything about miracles. And of course none of these writers are contemporaneous.