Well, for one thing, I can: I don’t believe in Biblical inerrancy, never said I did. They do.
That’s why The Bible should not be a morality guide. There’s no way to not be hypocritical by cheery-picking the parts you like and ignoring the rest.
I’ll pick and be cheery about it. 
Now, should Christians regard, or not regard, Jesus as part of the Trinity, the Godhead? Pretty obviously we should.
Does it make sense to view the rest of Scripture through the lens of what Jesus said and did as recorded in the Gospels? There are arguments on both sides, I’m sure, but for me, the answer is an emphatic Yes.
Now there are what Jesus said were the two Great Commandments: to love God with all our heart, soul, mind, and strength, and to love our neighbors as we love ourselves.
Again, I can see where views can differ, but if these are the two Great Commandments, I’m going to view everything, including the rest of the Gospels, through the lens of these commandments.
If there are parts of Scripture that I can’t make sense of when seen through that lens, should I act on them anyway even though I have no understanding? Of course not. One can say I should act on them anyway, out of faith in God. But I would say I don’t know how to act without understanding. Just because the Bible says X, doesn’t mean I know what I should do about X.
To me, that’s an informal but more or less systematic approach to Scripture. I don’t see any inherent hypocrisy in it. If it’s cherry-picking at all, it’s cherry-picking on the basis of understanding love as we normally understand love, rather than twisting the meaning of love into pretzels to be compatible with this or that Scripture verse. Pretzels like “we aren’t loving our neighbor as ourselves unless we frequently remind our gay neighbors that God really wants them to be straight, because their salvation depends on it.” You can say that’s love, but it sure doesn’t feel like it to me. So if that’s cherry-picking to you, that’s nice, but at that point I don’t give a damn what we call it. I’m not being an asshole to people and calling it love just because of some Scripture verses.