You are to be obedient to the law of the land until it conflict with the Word of God. The Word of God Himself/The Most High God are the authority on all orders of law in the entire universe (as it were). Daniel eating meat sacrificed to gods is an abomination to the Most High God. Even under the stress of seeing your fellow people killed for rejecting another man's orders, if those orders conflict with the Word of the Most High God then so be it. Blind faith to GOVERN(control) MENT(mind) is extremely dangerous, and is not something the Most High God, or the Most High God Himself advocated.
Daniel knew that an all meat diet is not healthy long before food scientists of today did. So he asked the king for permission to go vegetarian. He asked, becasue he knew civil disobedience is wrong in all cases.
Here is scripture without your additions:
Romans 13:1-14
Let every person be subject to the governing authorities. For there is no authority except from God, and those that exist have been instituted by God. Therefore whoever resists the authorities resists what God has appointed, and those who resist will incur judgment. For rulers are not a terror to good conduct, but to bad. Would you have no fear of the one who is in authority? Then do what is good, and you will receive his approval, for he is God's servant for your good. But if you do wrong, be afraid, for he does not bear the sword in vain. For he is the servant of God, an avenger who carries out God's wrath on the wrongdoer. Therefore one must be in subjection,
not only to avoid God's wrath but also for the sake of conscience.
Titus 3:1
1 Remind them to be subject to rulers, to authorities, to be obedient, to be ready for every good deed, 2 to malign no one, to be peaceable, gentle, showing every consideration for all men. 3 For we also once were foolish ourselves, disobedient, deceived, enslaved to various lusts and pleasures, spending our life in malice and envy, hateful, hating one another. 4 But when the kindness of God our Savior and His love for mankind appeared, 5 He saved us, not on the basis of deeds which we have done in righteousness, but according to His mercy, by the washing of regeneration and renewing by the Holy Spirit, 6 whom He poured out upon us richly through Jesus Christ our Savior, 7 so that being justified by His grace we would be made heirs according to the hope of eternal life. 8 This is a trustworthy statement; and concerning these things I want you to speak confidently, so that those who have believed God will be careful to engage in good deeds. These things are good and profitable for men.
9 But avoid foolish controversies and genealogies and strife and disputes about the Law, for they are unprofitable and worthless. 10 Reject a factious man after a first and second warning, 11 knowing that such a man is perverted and is sinning, being self-condemned.
1 Peter 2:13-20
13 Submit yourselves for the Lord’s sake to every human institution, whether to the king as the supreme authority, 14 or to governors as those sent by him to punish those who do wrong and to praise those who do right. 15 For it is God’s will that by doing good you should silence the ignorance of foolish men.
16 Live in freedom, but do not use your freedom as a cover-up for evil; live as servants of God. 17 Treat everyone with high regard: Love the brotherhood of believers, fear God, honor the king.
18 Servants, submit yourselves to your masters with all respect, not only to those who are good and gentle, but even to those who are unreasonable. 19For if anyone endures the pain of unjust suffering because he is conscious of God, this is to be commended. 20 How is it to your credit if you are beaten for doing wrong and you endure it? But if you suffer for doing good and you endure it, this is commendable before God.