Crosswalks make for difficult Caltrain-Muni transfer

In order to transfer between Caltrain and Muni, it is necessary to cross King street for the N and both 4th and King streets for the T. Since this is an extremely major and high-speed intersection, directly feeding onto the freeway, this can be quite treacherous. Stoplight timings also mean that it can take several minutes to be able to get from the T to the Caltrain. Some kind of transit-coordinated light timings to perhaps allow crossing across the entire intersection at once when trains are at the station could greatly improve the transfer experience.