The Z's front-end aero lift problems were/are well documented and date right back to the experiences of the car's original owners in the mid-1970's. The cure was lifted directly from the race track in the form of front and rear spoilers. Stiffening up the steering rack-to-frame bushings was also common practice. I'm not sure that beefing up the roll bar would help, though (unless you've lowered the car and have a bump steer issue).
'Car & Driver' magazine's editors carried out a nice cut-and-try, D-I-Y project somewhere in the late 1970's in which they fabbed, installed, and then track-tested bent-aluminum-sheet spoilers of progressively greater height (rear) and depth (front) to see how they worked and find the optimum front/rear combination. IIRC, the car was fitted with force transducers to measure the lift. Now that I've brought this up, I guess I'm obligated to dig into my back issues and find the article. If I'm successful, I'll post it here later in the weekend.
From my perspective, it's not really a question of whether spoiler work but rather one of how small a front spoiler I can get away with (or front/rear spoiler combination, if one at the back is absolutely necessary) to achieve adequate results for modern highway driving speeds. I'm not really a fan of the way big front air dams and rear spoilers affect the Z's look. I've always found the car's styling very 'fragile' and not well suited to customizing.
Your needs and preferences may, of course, be different from mine.