A 2†lift kit will not give you more ground clearance – it will give you a slightly better ramp over height. If you want more ground clearance then you need to fit bigger tyres so that the diffs are lifted, and then you will need a 2†or higher lift to help the tyres clear the bodywork though some cutting of the bodywork is also usually necessary.
Yes, anything that lifts the weight higher shifts the centre of gravity and makes the vehicle more prone to tipping, not a problem you just drive accordingly.
If you are running standard suspension then that may well be the reason you are lifting a wheel on the twisty bits – Remove rear ant roll bar - change your springs and shocks to give you more droop + longer brake hoses.