But it does turn back off doesn't it? Or does any power getting to the load automatically power up V2?
You might try switching the positions of the two mosfets so that the drains are connected together, then move the pullup resistor, the zener and the capacitor over to the 60V side. Also try a much smaller (ceramic) capacitor.
Assuming V2 is not coming up too, I think the basic problem is that when 60V is initially applied, the source rises faster than the gate, so for a while the mosfet is turned on. But it's not clear why that is happening. In theory, the 60V should pass through the left mosfet's body diode, through the capacitor to the gate, so the gate should also rise. But maybe switching things around as described above will make it work.
A separate question is why you are using two mosfets back-to-back. In what sense does the circuit need to operate in a "bidirectional" manner? Does current ever flow from the load back through to the 60V side?