what is wrong with simply accepting the gospel Jesus offered and saying so.
Not only is there nothing wrong with it, it is a requirement for salvation.
Whosoever therefore shall confess me before men, him will I confess also before my Father which is in heaven. But whosoever shall deny me before men, him will I also deny before my Father which is in heaven.
Think not that I am come to send peace on earth: I came not to send peace, but a sword. For I am come to set a man at variance against his father, and the daughter against her mother, and the daughter in law against her mother in law. And a man's foes shall be they of his own household. - Matthew 10: 34-36
But do not think that you will escape a price that must be exacted for accepting Jesus alone for your escape from the coming judgment. I at one time thought that I was smart enough, and slick enough to pull it off and have my cake and eat it too. I was wrong and the Lord meant what he said:
For from henceforth there shall be five in one house divided, three against two, and two against three. The father shall be divided against the son, and the son against the father; the mother against the daughter, and the daughter against the mother; the mother in law against her daughter in law, and the daughter in law against her mother in law. - Luke 12:52
Eventually, everyone must take a public stand, regardless of price. If a person really believes that Jesus' blood is sufficient all by itself to cover their sin, they WILL escape judgment; just as the Israelites escaped judgment at the Passover of the angel in Egypt when he saw the Lambs' blood on the door header and posts.
ONLY those under the blood will be pardoned for their sin.
And just for the record, salvation does not save us from destruction at Armageddon, it saves us from a personal judgment AFTER we die:
it is appointed unto men once to die, but after this the judgment - Hebrews 9: 27
And I saw a great white throne, and him that sat on it...And I saw the dead, small and great, stand before God; and the books were opened: and another book was opened, which is the book of life: and the dead were judged out of those things which were written in the books, according to their works. ... And whosoever was not found written in the book of life was cast into the lake of fire. - Rev. 20
Faith in the blood of Jesus ALONE saves us from being judged by our works - him being judged in our place and having paid the debt we owe for our wicked works.
This is what the New Covenant offers - "forgiveness of sins" (not government positions for the 144K)
And taking a cup, he offered thanks and gave it to them, saying: “Drink out of it, all of you, for this means my ‘blood of the covenant', which is to be poured out in behalf of many for forgiveness of sins. (NWT) Mt. 26. 27-28
Jehovah's Witnesses have no idea what they are doing when they allow themselves to be lead into rejecting a personal membership into the New Covenant each Memorial.
There will be a very high price to be paid for faith in a church or your works, or any combination of the two. Jehovah is a God exacting exclusive devotion. Any devotion to anything other than the blood of Christ will be rejected as idolatry, regardless of how religious it may seem.