Star Wars was treated with a lot more respect to the source material, giving the ageing original actors substantial roles. With Star Trek they wanted to get as far away as possible from it, and had the mindset that the original actors are so old and boring that they should not be included, or just with a very limited amount of screentime.
Had they structured Star Trek like Force Awakens, Leonard Nimoy's Spock would have actually confronted Nero.
They also took Stormtroopers, that over time had turned into a pop culture running gag, and made them more serious. In Trek, they totally gave in to the redshirt trope and continued to make fun of it.
Same for the Star Wars design. They took everything from the originals and made faithful copies. They even went as far as using old Ralph McQuarrie designs from the 70s and realized them in the 2010s. There was no "I want the Millenium Falcon to look like a retro hotrod".
Same for the music. Giacchino didn't include any themes from Trek except for the end credits.
Somehow, Star Wars fans are also considered more intelligent. So there was no need to include songs and vehicles from the 20th century to make it more "down-to-Earth". There was also no need to include Earth to make the threat feel more serious. They even introduced a new planet for the Republic government, and introduced the Resistance. Lindelof would have reasoned that this totally confused the audience, and that it needed to be Coruscant and the Rebellion in order to work. There was also no need to give the characters teenage problems to make them more relatable to the general audience. They had adult relationships, problems and behaviour patterns, unlike what they did to Uhura and Spock.
Star Wars fans were also treated with more respect. There were no bashes against subscribers of Lightsaber's Monthly. Instead, the makers themselves subscribed to those magazines in order to recreate all the technical aspects as faithfully as possible.
I don't know if Star Wars fans are more respected or considered more intelligent. However Star Wars is a bigger, more respected franchise because its made a lot more money than Star Trek. And while the prequels were considered subpar they still raked in tons of money and sold tons of merchandise, and it spawned a successful cartoon series in The Clone Wars. And right before TFA you had Rebels.
And in TFA Stormtroopers were still used as comic relief to some extent. Heck, the man Stormtrooper Finn provided a lot of comic relief. And there was a funny scene where the two Stormtroopers turn around to avoid Ren's tantrum. I don't see that any different than the jokes made about redshirts in Trek '09 and Into Darkness.
With Trek, I think there was more of a desire on the part of Paramount to make changes. Nemesis was a failure and so was Enterprise and the Trek brand was tarnished in a way that Star Wars never was. Trek was struggling for relevance which necessitated Paramount feeling the need to make deeper changes than with Star Wars.
That being said, it's arguable that the Abrams films have paid respect to the Trek history of the franchise, with various call outs/call backs, and the inclusion of characters like Pike, and name drops like Christine Chapel. Heck, Into Darkness went overboard with referencing Trek lore. And with the nature of the alternate universe it makes it hard to use other original Trek characters or other Trek characters besides Spock. Though it would be great to at least see all of the original main cast members in Beyond. I don't know how they would do it? Maybe have them play different characters stranded on the planet, but their inclusion in some way would be great.