lets just say, you've taken the first step by immersing yourself with miles davis, coltrane, gillespie and parker, etc etc
i've only got one statement you sound take to heart...
"It dont mean a thing if you ain't got the swing"As a former shredder myself, i had to dive into playing true rhythm when i dived into jazz. throw away your malmsteen/vai 16th note triplets (you can revisit them later...), you wont need them.
screw your paul gilbert vibrato (just for now)
and for your michael angelo batio raked sweep picked major and minor arpeggios... unless you can execute quartals with that technique ala coltrane and mccoy tyner, that too, you'll have to bury in your backyard.
swing slow, swing hard, think in halftime ALWAYS. your have to dump your scalar sequences and start learning how to target notes within the chord. welcome to the world of real harmony, and dealing with changes and navigating progressions.
bu the bottom line is... your lines have to swing. start there, and with dealing with your basic turnarounds, then you're on the right track.
secondly, find a great teacher. jazz's real tradition is the mentoring system. call it drunken master kung-fu, call it the old african way, call it whatever you want... but having a great mentor will save you many headaches.
then you can continue the jazz tradition... by breaking the rules after you have learnt them. you cant break something you do not understand/know.