Every time road brakes come up, someone says “You haven’t got the contact patch to use more power”.
Basic physics will tell you that the contact patch has very little bearing on grip. The equation is F = uN
F is the force generated (ie, grip),
u is the coefficient of friction (ie, how grippy the tyre is)
N is the force between the two surfaces.
Differences in ultimate grip will result from different tyre compounds (ie, higher coefficient of friction), but contact patch is fairly irrelevant.
As for the brakes, assuming they’re dual pivots, you should be able to pull up pretty sharpish. Pad clearance needs to be VERY slim for them to work well, make sure all the contact surfaces are clean and that the cables are decent.