The Spirit draws people to God in many ways, and through many mechanisms. Some definitely come to the Lord because they are trying to escape something (e.g. through hell fire preachers, including those who don't present the full Gospel), including heavy burdens of guilt or self-doubt; some because they are in the depths of depression, worry, suffering from loneliness, coming to the realisation that there must be more to life than "this drudgery." The Spirit works with the individual and he can use any appraoch that he wants. There is no "one size fits all." At the same time I believe he only uses "methods" that are consistent with the ends he wishes to achieve.
Jesus used the above quote in one situation. He also told the Samaritan woman that he could quench her thirst; he told others that he was the bread of life who could permanently fill our hunger. His constant work as a healer, a restorer of sight and hearing, or healing the lame, are also beyond the physical healings, indicatrions that he can open the eyes of the searcher, open the hearing of the spiritual deaf, he can give us the spring of life to our lameness, restore our broken lives, be our hope, our ultimate goal and meaning in life! He meets us where we are, and answers our individual needs.
From personal experience I currently believe that "hell fire preaching" and the use of fear to scare me into the kingdom, scarred me for decades, and it has only been through his revelation to me of the mutuality of the meaning of love in a relationship that has begun to repair the damage fear as done in my life. So in answer to your question, if we emphasise the angry, threatening God, we may find it extra difficult to reorient the picture of God as Jesus portrayed him during his life here.
I have never found relationships easy. Probably for many reasons, but fear in several different guises has been one factor. Thinking through 1 Cor. 13 asGod's self-portrait finally made a powerful impact on me. Ordinary people usually think of God in terms of omniscience, omnipresence and omnipotence. In this chapter he makes it clear that what HE wants us to envisage him as in a loving God. Omniscience, omnipotence and omnipresence are (in his own view) of no value unless applied in and with love. Then he defines love for us. And I read that 'he believes in me' (you believe in the one you love, and he loves me!). I have always been encouraged to "believe in God" so to understand that he believes in ME, that he never gives up on me, that he always gives me the benefit of the doubt - this was the beginning of the end of my fear of him. But the journey is still going on...I still have a long way to go. He has been working on a 'good plan' for me from the outset, and it is a major regret that I didn't understand this a long long time ago.