Adjusting ride height to achieve certain corner weight

don't think that's what corner weight is for ("going straight").
corner weight is about cross weight. ideally, you want to achieve 50/50 cross weight (if the track has equal numbers of right and left turns). LF/RR = RF/LF.
you add weight by raising the corner, and vice versa.
to properly corner weight, you should also have adjustable end link (sway bars). as sway bars should be disconnected during corner weighting, after which, end link re-attached without binding up the sway bars.
and no, ride height don't need to be the same per axle. for asthetic, yes, but not for performance. If it really bothers you, you can try moving weight around. almost impossible in a street car. much easier in a race car, where you can easily move fire system, battery, radio, cool suit system, ballast, around.
street car is also more difficult to corner weight, because having passenger or not, full or empty fuel tank, where you place luggage all changes corner weight.
"going straight" can be achieved with toe and mostly caster. if track is what you are after, "going straight" shouldn't be that important. vice versa if the car is mostly street driven. An extreme example would be an autocross car, they are setup super darty with plenty of front toe out, but it sucks big time on street driving.