Jeep Cherokee Need some QUICK input

Hello. My 1994 Jeep Cherokee has been having an intermittent neutral
starter switch problem for a few years now..Every few weeks it would
not start (Nothing would happen actually except dash lights would come
on. If I put it in reverse the backup lights wouldn`t come on at that
point.)..If I put the Jeep in neutral it would start right up and go
back to operating normally for weeks or months til it happened again.
It got to happen more and more and finally today it wouldn`t start
even in neutral. I HAVE to get the Jeep moving tomorrow morning as it
is sitting on National Park property and the rangers were kind enough
to let me leave it there overnight just this once. I tried taking the
neutral starter switch off before we left so I'd have it with me when
I went to get a new one but it seemed as if it wouldn`t pull off of
the lettle stud it is mounted to. It almost seemed as if the stud was
pulling out with it....The bottom line is I have to get that thing
back home tomorrow...Should I be able to simply run a jumper wire
between the battery positive post and the smaller terminal on the
solenoid and have it start with the key in the on/run position?..I
should have tried it up at the park but it was already dark and cold
and I was flustered about them getting ready to lock up and it slipped
my mind...Thanks for any quick input...PS: I am cross posting this as
I need an answer by early tomorrow so I hope someone on some board
will read this tonight and have some quick advice