"Do you talk about self-denial? What did Christ give for us? When you think it hard that Christ requires all, go to Calvary, and weep there over such a thought. Behold the hands and feet of your Deliverer torn by the cruel nails that you may be washed from sin by His own blood! 1T 160.2"
"For he hath made him to be sin for us, who knew no sin; that we might be made the righteousness of God in him."
Both passages deal with Christ's sacrifice for humanity's sin. EGW's passage emphasizes the physical suffering at Calvary, while 2 Corinthians 5:21 focuses on Christ becoming sin for us. The core theme of substitutionary atonement connects them strongly.
"Who his own self bare our sins in his own body on the tree, that we, being dead to sins, should live unto righteousness: by whose stripes ye were healed."
Both passages directly relate to Christ's suffering and its purpose in atoning for sins. EGW's description of the nails and blood directly echoes the imagery of 1 Peter 2:24, which speaks of Christ bearing our sins on the tree and being healed by His stripes.
"Those who feel the constraining love of God do not ask how little may be given in order to obtain the heavenly reward; they ask not for the lowest standard, but aim at a perfect conformity to the will of their Redeemer. With ardent desire they yield all , and manifest zeal proportionate to the value of the object of which they are in pursuit. What is the object? Immortality, eternal life. 1T 160.3"
"I beseech you therefore, brethren, by the mercies of God, that ye present your bodies a living sacrifice, holy, acceptable unto God, which is your reasonable service."
Both passages discuss yielding oneself to God. Romans 12:1 speaks of presenting our bodies as a living sacrifice, while the EGW passage speaks of yielding all with ardent desire. The connection is thematic, focusing on dedication and sacrifice.
"And be not conformed to this world: but be ye transformed by the renewing of your mind, that ye may prove what is that good, and acceptable, and perfect, will of God."
The EGW passage speaks of conforming to the will of the Redeemer, while Romans 12:2 speaks of not conforming to the world but being transformed to prove the perfect will of God. There is a thematic overlap, but it's not a strong or direct connection.
"Young friends, many of you are sadly deceived. You have been satisfied with something short of pure and undefiled religion. I want to arouse you. The angels of God are trying to arouse you. Oh, that the important truths of the word of God may arouse you to a sense of your danger, and lead you to a thorough examination of yourselves! Your hearts are yet carnal. They are not subject to the law of God, neither indeed can be. These carnal hearts must be changed, and you see such beauty in holiness that you will pant after it as the hart panteth after the water brooks. Then you will love God and love His law. Then the yoke of Christ will be easy and His burden light. Although you will have trials, yet these trials, well borne, only make the way more precious. The immortal inheritance is for the self-denying Christian. 1T 160.4"
"Because the carnal mind is enmity against God: for it is not subject to the law of God, neither indeed can be."
The EGW passage directly quotes and expands upon the concept of the carnal mind being at odds with God's law, as stated in Romans 8:7. The connection is clear and significant.