Calcium and magnesium are also high at Ca 1927 ppm and Mg 248 ppm
Really? What is your saturation levels of these two nutrients. CEC and saturation levels determine if these nutrients are to high, Lbs just tells you what it takes to get there. 1927ppm =3854lbs of ca. 248ppm = 496lbs of Mg.
Ph is effected by both of these elements, but it is also effected by a bunch of other nutrients. Sodium can really get your Ph up there and calcium (lime)could be used to bring it back down. You need to look at what is driving your ph first before deviseing a treatment. It could be the ca and mg, but you couldnt tell it from the info you posted.
With that said, compost does a soil good.