Regarding the tyres, I used to run a bridgestone sports tyre on the front (014) and a touring tyre on the rear (020) on my first blade with no issues, I did this because I didn't realy trust the touring tyres and felt more confident with a stickier front on a sports bike, I asked my regular mechanic if this would be an issue and he said not. I'm guessing the previous owner of your bike either felt happier with a stickier tyre on the front or maybe he did a trackday at some point and replaced the rear afterwards, either way it's not an issue as from experience Bridgestones sports and sports/touring tyres work well together.
I had an RR-R blade and an RR-Y, although it was a while ago I wouldn't say that my Fazer is particularly outclassed in the handling stakes (your blade is probably newer though), but I have spent money on upgrading the Fazers suspension which I didn't on the blades. I suspect you might need to spend a little time tweaking the suspension to suit your requirements and to adjust to the new riding position. I find the natural riding position on the Fazer isn't condusive to more 'spirited' riding, I find when the red mist rises I drop forward into more of a sports crouch putting more weight over the front and giving more freedom of movement in my arms to shift my weight around, at which point I'd say I'm as quick on my Fazer as I was on any of my previous bikes.
I had an RR-R blade and an RR-Y, although it was a while ago I wouldn't say that my Fazer is particularly outclassed in the handling stakes (your blade is probably newer though), but I have spent money on upgrading the Fazers suspension which I didn't on the blades. I suspect you might need to spend a little time tweaking the suspension to suit your requirements and to adjust to the new riding position. I find the natural riding position on the Fazer isn't condusive to more 'spirited' riding, I find when the red mist rises I drop forward into more of a sports crouch putting more weight over the front and giving more freedom of movement in my arms to shift my weight around, at which point I'd say I'm as quick on my Fazer as I was on any of my previous bikes.