After the Triumphal Entry, even at this time, there were Greeks who wanted to see Jesus (12:20). The Gospel is not for "our own people" only, but for all peoples.
“Now my soul is greatly distressed. And what should I say? ‘Father, deliver me from this hour’? No, but for this very reason I have come to this hour. Father, glorify your name.” Jesus didn't avoid suffering because it was necessary for his mission. How often do I not do my mission just to avoid suffering?
12:42-43 “Nevertheless, even among the rulers many believed in him, but because of the Pharisees they would not confess Jesus to be the Christ, so that they would not be put out of the synagogue. For they loved praise from men more than praise from God.”
Two things to note here:
First: there were actually many of the Sanhedrin who believed in Jesus. In fact, there were so many Pharisees who believed in Jesus that they became a problem for the early church -- they were the Judaizers that Paul argued against.
Secondly, how often do I hide my Christianity because of loving praise from men more than praise from God? Maybe not hiding our Christianity, but hiding our Bible-informed opinions? I personally know that I have refrained from voicing out objections to the homosexual agenda among my liberal American friends, because I knew I would be ridiculed.