This has everything you need to know
The range thing is also a huge factor. Federation photon torpedos have a range of 300,000 kilometers. Star Wars is pretty inconsistent, but depending on the ship range seems to be maxed out at hundreds of kilometers. They also seem to have poor sensors.
In Star Wars the Scimitar is considered a fast ship, it's top speed is apparently 1200km/h in atmosphere. IRC that's half as slow as a present day SR71 blackbird. Trek is inconsistent, but the TNG technical manual says that impulse can reach 0.75c but is usually limited to 0.25c to avoid time dilation issues. C being light speed. So that's roughly 150 million kms an hour except in emergencies when it's more than that.
So basically, ships from the star trek universe could simply keep a safe distance, safe in the knowledge the empire's ships are far too slow to ever catch up conventionally.
As your video points out, trek ships are also shielded. But so are photon torpedos, which at one point allows a photon torpedo to burrow into the stellar core of a sun. So the Death Star isn't an issue. Just fire a few photon torpedos at it. Apparently the Death Star only had shields to protect against energy weapons, not kinetic shields because that would block heat escaping the exhaust ports.
Then there's the whole teleportation thing.
And replicators.
And cloaking.
And red matter.
...
The longer you think about it, the sillier the comparison gets basically.
The superluminal speed of a hyperdrive was rated on a decreasing scale; the faster the hyperdrive, the lower the rating. These ratings were generally referred to as "Classes" and provided a quick, although often inconsistent or inaccurate, idea of a ship's hyperdrive speed. It was based on an asymptotic scale with Class 0.0 being infinite speed. In 30 BBY. By the end of the Clone Wars most military starships were using Class 3 or Class 2. During the Galactic Civil War, military capital ships and starfighters were generally equipped with Class 1 or Class 2, industrial freighters and haulers with Class 3 or Class 4, and civilian starships with Class 5 or above. Many vessels mounted backup hyperdrives of much higher—that is, slower—class than their primary hyperdrive.
Some starships, such as the Millennium Falcon, underwent after-market modifications to achieve ratings of Class 0.5, and Dash Rendar's Outrider also had a hyperdrive Class 0.75, which was also achieved by modifications, although tampering with the generally stable technology of a hyperdrive was considered a dangerous activity. Boba Fett's Slave I had a class 0.7 hyperdrive. Hyperdrives built by those outside the sphere of the Galactic Republic, Galactic Empire and New Republic, such as the Hapan Froond-class hyperdrive, were not classed in the standard system, as controlled comparisons were difficult to attain. Some Zonama Sekotan ships were able to achieve a Class 0.4 by combining high class hyperdrives with organic technology,[5] as did the Bes'uliik starfighter via fusion of Verpine and Mandalorian technology.