Is it sufficient to rely on the books and tapes of the two Sheikhs, Ibn Baz and Ibn Uthaymeen, for seeking Islamic knowledge, and is this a correct method?

There is no harm for a common person in emulating the two Sheikhs, Ibn Baz and Ibn Uthaymeen, may Allah have mercy on them, as they are among the great contemporary scholars. To know what a common person should do when there is a difference in fatwa, one can refer to Fatwa No. 98026. As for the beneficial books for a student of knowledge, they are numerous and have been previously explained in past fatwas, such as Nos. 123613, 41296, 63874, 121056.