Star Trek 4 is all but guaranteed. Beyond might underperform expectations. But it's still an enourmous money-maker. They gonna' milk it as long as they can. Even ST5 is entirely plausible. The only problem for ST5(!) might be the actors' commitment. But since none of them have any lead-roles in other big-budget productions (have to see how long Pine stays in the DCU), they (at least Pine & Quinto, the rest is of secundary importance) will be happy to earn blockbuster money and recognition every 3-4 years.
BTW Star Trek was NEVER to compete with Star Wars. Despite a similar title, those are worlds apart. But I think a good Star Trek movie franchise should be able to consistently reek in money in the regular Marvel movie range (the singular heroes' movies, not the "Avenger" movie obviously). The JJverse movies fall slightly short of that. I think it's still Paramounts' biggest franchise at the moment.
Personally, I think the perfect 'Star Trek movie-formula' still hasn't been found. But I firmly believe it's out there, and one day it will be found. I imagine it to be something like a (very loose) overarching plot, with each movie being a big "chapter" in it, with it's own plot, with all the movies travelling to many different locations in the Trek universe. Something like the old "Flash Gordon" serials, or "Indiana Jones", exciting adventure movies, focusing on travelling and meeting new and exotic locations, aliens and monsters, while having humanistic explorers as the protagonists.