Well, I'm not sure I have any "influences". But my three "favorites" are more 70's than 80's. Ritchie Blackmore, Don "Buck Dharma" Roser (Blue Oyster Cult) and Rory Gallagher.
Blackmore was and hopefully still is just a great live guitarist, a blast to watch. Buck Dharma had/has the most amazing tone, and techniche that didn't sound like anyone else - sort of Grateful Dead meets Led Zepplin. Rory Gallagher probably stands along side Hendrix as the best electric guitar player who ever lived - R.I.P.. Its a damn shame there is so little recorded material that matched his talent. I saw him 4 times live and each time was absolute frenzy, a hall full of guitar players on their feet with jaws on the floor.
And I'll say this about Neal Schon. I never was a big Journey fan, although I liked his work on "Lights" and a few other songs. This summer I saw the G3 tour - Satriani, Vai, and Petrucci - and for their encore they come out together to play, as expected. Well for whatever reason Schon was in town and he played with them for the encore. Not difficult stuff - Hendrix jamming mostly - but I thought that as a walk-on he played damn well.