I was a J guy for about 20 years. I bought a P early this year. I haven't touched a J since.
A P will sit in the mix perfectly in pretty much any kind of music there is, without a lot of EQ. Just plug it in and go. I use it in my soul/classic rock band, I use it in my hard rock/punk band, it sounds equally good in both. It isn't "versatile", because it doesn't need to be. It just sounds good. Always. You can go from fat old school tone, to bright metal with a turn of the tone knob. All I'll ever need (not necessarily all I'll ever want though...

).
Sorry, I'm not much good at talking you out if it.