ones who are part of Satan's kingdom, it seems to me, are planning to refuse it. How can Satan have followers who refuse what really is his mark?
I believe in God and accept his son as my savior. I am very hesitant to take the vaccine, does that make me one of satans followers? No, I wouldn't think so. I have a big trust issue in this world today...sometimes I don't know what to believe anymore.
Thank you for making yourself clear. Yes, I have said people of Satan have refused the vaccine, but I do not mean that all refusers are children of Satan. I am just making a point, that . . . if I understand correctly . . . the mark will be received by all children of Satan, not only certain ones. So, if ones are refusing it, in even maybe great numbers, the vaccine can not be the mark if not all Satanic people receive it.
And yes God's word does say not to trust in man.
"Thus says the LORD:
...'Cursed is the man who trusts in man
....And makes flesh his strength,
....Whose heart departs from the LORD.'"
So, I can see why you and a number of other Bible claiming people do not want to depend on the vaccine which is a work of man. But I note how it says the person's heart is departing from the LORD. I consider there is a difference between totally depending on humans, versus making God's use of humans for His good.
Money and cars are things of humans, with safety regulations for wearing seat belts and not driving in the wrong direction on a superhighway. And the media reporting of vaccine information comes through the Internet which humans operate.
So, my opinion is that in order to not depend on humans, at all, we would not be able to use money or cars or safety regulations or Internet reporting about vaccines . . . or use food which humans have grown and sold to us. And in order to grow our own food, we might need to depend on what humans have taught us about growing food.
So, I see the main issue is if our hearts depart from the LORD, in how we trust humans.
The mark has to do with also worshiping the beast, I would say, considering Revelation 14:9-11.
So, I don't think the mark will be a total sneak-in. I consider that Satan wants people to knowingly worship him, and knowingly deny Jesus. But it seems he does use trickery and deception; so I am open about if the mark will be obviously connected with outright conscious worship of the beast and Satan.
The Vaccines and quarantines are the compliance with what God has decreed...
You want to go against that?
There are Bible claiming people who understand that Romans 13:1-7 says God wants us to be subject to secular rulers, because
"he is God's minister to you for good".
I don't think a lot of anti-vaxers are driving the wrong way on superhighways, in order to show they will not be controlled by humans. Ones can pick and choose what they consider to be conspiracy stuff to control us.
How do you know they are safe?
First, of course, you are right to be concerned about being spiritually safe!
I would say, first > pray and make sure with God, that you are obeying Him. Be able to submit to how how He personally guides us . . . so we can obey how He wants to bless us through humans, but be ready to detect when He does have us going contrary to even governmental influence.
While God can use humans to inform us about things, we do need to be able to make sure with Him about what He has us trust. Because yes humans can make things look the way they want us to see them > Joshua chapter nine has an example of how evidence was rigged to look obvious to the Israeli leaders.
After all, there is evil stuff which the government does. And we need to not go along with it. So, I talk with each person and see what he or she understands, and I do not push anyone, one way or the other, about the vaccine.
Most of all what matters is we love one another, and care about others as ourselves.
I am fine with the vaccines, but I might wait so others more at risk can get one. And I believe there are ones not trusting the vaccine, for different reasons. There are ones who may be simply somehow anti-human, putting some curse of suspicion on humans without any effort to make sure with God. But I see how ones who are Christian might be unsure; after all, there is such evil in government . . . but also elsewhere. Make sure with God, I would say, so you get good at making sure with God, all the time > 1 Thessalonians 5:21.
Do not let evil alone decide what you do!
Decades upon decades of medical science, study, testing, and observations have demonstrated clearly, beyond any reasonable doubt, that vaccinations are safe for the vast majority of people.
But the whole world is under the sway of Satan > 1 John 5:19 >
"We know that we are of God, and the whole world lies under the sway of the wicked one." (1 John 5:19)
So, I accept that anything could be deception; but the main conspiracy is to get our attention tied up in what is going on around us, versus first staying attentive to God and submissive to Him in His peace, while we care as much about others as ourselves. There is conspiracy of Satan's kingdom to keep our attention mainly about our own selves and ones close to us.
All this in a way smells of an attempt to show up God by science and government. Over the years an occasional chipping away at people slowly moving science and government right in there.
Yes, there is gradual deception . . . including of our attention.
But part of self-deception can be how certain ones constantly present themselves as being so smarter than everyone else. And they can misguide our attention. We can get too busy with seeing only how Satan's world is acting to trick us and control us . . . instead of first being attentive and submissive to how our Father is ruling us in His own peace (Colossians 3:15, Philippians 4:6-7), and has us personally caring for any and all people (Matthew 5:46, 1 Timothy 2:1-4). Instead, ones can be very busy with pointing the finger at worldly people and criticizing, and they can be very self-congratulating how they are superior to other people.
In history, it seems ones have been so sure, many times, of how they have detected what is the mark and who is the anti-Christ. And the ones they have identified are bygones. And now we have ones who are so sure they know what is the mark.
But are we attentive to God, or only or mainly looking around us?? Jesus says, when we see these things coming to pass >
"look up", in Luke 21:28.
"'Now when these things begin to happen, look up, and lift up your heads, for your redemption draws near.'" (Luke 21:28)
So, how we see things is important. Are we becoming uplifted? 
Or, is pride having us looking down on others who do not agree with us? I myself can have a way of self-righteously welcoming excuses to look down on others. I should not allow myself to be marked-up with messy stuff like this!!!!