If its youre first track day, street tires might be ok. Street tires no matter what manufacturer will get greasy fast, about 5 laps if you run lap times in the upper range of most intermediate groups.
Dunlop 209s dots are unstable on medium to long straights say (145 and up) at a respectable race pace unless your bike is completely dialed and maybe even then, especially on your gixxer. not so much on the duc. I hear the nutech rear has solved that problem but not soon enough to keep me from switching to pirelli dots whatever they are called. and obviously at some level of skill a rider can ride around the headshake, since most of the ama races on dunlops.
for what its worth i have front feel issues with michelins, but it could easily be me.
if you ride agressively on the street switch back to street tires on the street. a 190 dot race may never get enough heat into it to work right on the street and its a painful lesson to learn. So learn to get your wheels off fast so you can trade out your rubber and have the vendor switch you back before you leave. most will only charge you 20 bucks or so.
I instruct and while it's not been my experience that the crashes happen because of street tires, its a good idea to get dot races, or even slicks. then remember, unless you have tire warmers and maybe even if you do, take it easy for a couple laps. my experience is more crashes happen in the first session, the first session after lunch and the last session.
after that seek the greep and the reethim and have a blast.