Romans 14:10 But why dost thou judge thy brother? or why dost thou set at nought thy brother? for we shall all stand before the judgment seat of Christ.
11 For it is written, As I live, saith the Lord, every knee shall bow to me, and every tongue shall confess to God.
12 So then every one of us shall give account of himself to God.
There is a right and wrong application of Romans 14:10 and 12.
Elsewhere, the apostle Paul commands us to "prove" (which means, test, judge) all things.
1 Thessalonians 5:21 Prove all things; hold fast that which is good.
2 Corinthians 11:13 For such are false apostles, deceitful workers, transforming themselves into the apostles of Christ.
The apostle John commands us to judge false prophets by trying their spirits:
1 John 4:1 Beloved, believe not every spirit, but try the spirits whether they are of God: because many false prophets are gone out into the world.
Jesus our Messiah commands the same while He was ministering on earth:
Matthew 7:15 Beware of false prophets, which come to you in sheep's clothing, but inwardly they are ravening wolves.
How can we beware of false prophets, try the spirits of false prophets, stand against false apostles, and even false christs, without discerning them.
Therefore, the verses at the head of this page are not telling us to avoid the judgments that we have been commanded to make.
The context of Romans 14:10,12 is that of differing views concerning what is permitted to eat.
Romans 14:14 I know, and am persuaded by the Lord Jesus, that there is nothing unclean of itself: but to him that esteemeth any thing to be unclean, to him it is unclean.
15 But if thy brother be grieved with thy meat, now walkest thou not charitably. Destroy not him with thy meat, for whom Christ died.
16 Let not then your good be evil spoken of:
17 For the kingdom of God is not meat and drink; but righteousness, and peace, and joy in the Holy Ghost.
18 For he that in these things serveth Christ is acceptable to God, and approved of men.
19 Let us therefore follow after the things which make for peace, and things wherewith one may edify another.
20 For meat destroy not the work of God. All things indeed are pure; but it is evil for that man who eateth with offence.
21 It is good neither to eat flesh, nor to drink wine, nor any thing whereby thy brother stumbleth, or is offended, or is made weak.
22 Hast thou faith? have it to thyself before God. Happy is he that condemneth not himself in that thing which he alloweth.
23 And he that doubteth is damned if he eat, because he eateth not of faith: for whatsoever is not of faith is sin.
By all means we must judge sin in the church, as well as judge false prophets and teachers, false apostles, and false christs.
1 Corinthians 5:11 But now I have written unto you not to keep company, if any man that is called a brother be a fornicator, or covetous, or an idolater, or a railer, or a drunkard, or an extortioner; with such an one no not to eat.
Romans 16:17 Now I beseech you, brethren, mark them which cause divisions and offences contrary to the doctrine which ye have learned; and avoid them.
18 For they that are such serve not our Lord Jesus Christ, but their own belly; and by good words and fair speeches deceive the hearts of the simple.
Such we must judge and even shun.