Starstreak is a short to medium range, easily portable, point defence system, Patriot is a long range air defence system, vehicle borne installation with anti-ballistic missile capabilities designed for controlling a larger area of sky.
One benefit Starstreak has is that they have a very short time to target and are very difficult to jam or disable unless you kill or otherwise put out of action the operator. On the other hand they are a very defensive tool which is limited in terms of being able to take control of the sky.
No one has a fully combat proven hypersonic missile which operates anything close to the headline speeds but even so they do not fly at hypersonic speeds through the whole path - in fact depending on parameters they can be slower than conventional missiles in the terminal phase. They use their hypersonic speeds to minimise the time to react to them and can be very difficult for fixed installations to deal with defending a country but contrary to what is often said they are interceptable by advanced air-defence systems where the air-defence system is the target or in close proximity to the target.
