No. The road isn't narrow because men or women "don't believe that God is as gracious as he is". It's narrow because it has challenges that push someone out of their comfort zone. There's a lot of people on the broad way to destruction because of how they want to be comfortable. Devils believe. You can't just believe and think you made it.
These are the passages you want to see.
Luke 3:8-9
8 Bring forth therefore fruits worthy of repentance, and begin not to say within yourselves, We have Abraham to our father: for I say unto you, That God is able of these stones to raise up children unto Abraham.
9 And now also the axe is laid unto the root of the trees: every tree therefore which bringeth not forth good fruit is hewn down, and cast into the fire.
John 15:6
If a man abide not in me, he is cast forth as a branch, and is withered; and men gather them, and cast them into the fire, and they are burned.
Romans 11:16-22
16 For if the firstfruit be holy, the lump is also holy: and if the root be holy, so are the branches.
17 And if some of the branches be broken off, and thou, being a wild olive tree, wert grafted in among them, and with them partakest of the root and fatness of the olive tree;
18 Boast not against the branches. But if thou boast, thou bearest not the root, but the root thee.
19 Thou wilt say then, The branches were broken off, that I might be grafted in.
20 Well; because of unbelief they were broken off, and thou standest by faith. Be not highminded, but fear:
21 For if God spared not the natural branches, take heed lest he also spare not thee.
22 Behold therefore the goodness and severity of God: on them which fell, severity; but toward thee, goodness, if thou continue in his goodness: otherwise thou also shalt be cut off.
Malachi 3:1-7
1 Behold, I will send my messenger, and he shall prepare the way before me: and the Lord, whom ye seek, shall suddenly come to his temple, even the messenger of the covenant, whom ye delight in: behold, he shall come, saith the Lord of hosts.
2 But who may abide the day of his coming? and who shall stand when he appeareth? for he is like a refiner's fire, and like fullers' soap:
3 And he shall sit as a refiner and purifier of silver: and he shall purify the sons of Levi, and purge them as gold and silver, that they may offer unto the Lord an offering in righteousness.
4 Then shall the offering of Judah and Jerusalem be pleasant unto the Lord, as in the days of old, and as in former years.
5 And I will come near to you to judgment; and I will be a swift witness against the sorcerers, and against the adulterers, and against false swearers, and against those that oppress the hireling in his wages, the widow, and the fatherless, and that turn aside the stranger from his right, and fear not me, saith the Lord of hosts.
6 For I am the Lord, I change not; therefore ye sons of Jacob are not consumed.
7 Even from the days of your fathers ye are gone away from mine ordinances, and have not kept them. Return unto me, and I will return unto you, saith the Lord of hosts. But ye said, Wherein shall we return?
Revelation 3:17-19
17 Because thou sayest, I am rich, and increased with goods, and have need of nothing; and knowest not that thou art wretched, and miserable, and poor, and blind, and naked:
18 I counsel thee to buy of me gold tried in the fire, that thou mayest be rich; and white raiment, that thou mayest be clothed, and that the shame of thy nakedness do not appear; and anoint thine eyes with eyesalve, that thou mayest see.
19 As many as I love, I rebuke and chasten: be zealous therefore, and repent.
Hebrews 12:7-11
7 If ye endure chastening, God dealeth with you as with sons; for what son is he whom the father chasteneth not?
8 But if ye be without chastisement, whereof all are partakers, then are ye bastards, and not sons.
9 Furthermore we have had fathers of our flesh which corrected us, and we gave them reverence: shall we not much rather be in subjection unto the Father of spirits, and live?
10 For they verily for a few days chastened us after their own pleasure; but he for our profit, that we might be partakers of his holiness.
11 Now no chastening for the present seemeth to be joyous, but grievous: nevertheless afterward it yieldeth the peaceable fruit of righteousness unto them which are exercised thereby.
Matthew 3:8-10
8 Bring forth therefore fruits meet for repentance,
9 and think not to say to yourselves, We have Abraham as our father. For I say unto you that God is able from these stones to raise up children unto Abraham.
10 And now also the ax is laid unto the root of the trees; therefore every tree which bringeth not forth good fruit is hewn down and cast into the fire.
Isaiah 1:22-31
22 Thy silver is become dross, thy wine mixed with water:
23 Thy princes are rebellious, and companions of thieves: every one loveth gifts, and followeth after rewards: they judge not the fatherless, neither doth the cause of the widow come unto them.
24 Therefore saith the Lord, the Lord of hosts, the mighty One of Israel, Ah, I will ease me of mine adversaries, and avenge me of mine enemies:
25 And I will turn my hand upon thee, and purely purge away thy dross, and take away all thy tin:
26 And I will restore thy judges as at the first, and thy counsellors as at the beginning: afterward thou shalt be called, The city of righteousness, the faithful city.
27 Zion shall be redeemed with judgment, and her converts with righteousness.
28 And the destruction of the transgressors and of the sinners shall be together, and they that forsake the Lord shall be consumed.
29 For they shall be ashamed of the oaks which ye have desired, and ye shall be confounded for the gardens that ye have chosen.
30 For ye shall be as an oak whose leaf fadeth, and as a garden that hath no water.
31 And the strong shall be as tow, and the maker of it as a spark, and they shall both burn together, and none shall quench them.
Zechariah 13:7-9
7 Awake, O sword, against my shepherd, and against the man that is my fellow, saith the Lord of hosts: smite the shepherd, and the sheep shall be scattered: and I will turn mine hand upon the little ones.
8 And it shall come to pass, that in all the land, saith the Lord, two parts therein shall be cut off and die; but the third shall be left therein.
9 And I will bring the third part through the fire, and will refine them as silver is refined, and will try them as gold is tried: they shall call on my name, and I will hear them: I will say, It is my people: and they shall say, The Lord is my God.