An important point in your Q is how the word 'alone' is placed AFTER 'trusting in JC', and you have avoided the trap of saying 'Only trusting in JC...' Not many people have noticed this.
This is about who our trust has to be in. Do we trust Christ alone, or do we trust in other things (for salvation). The gospel message of the Bible is that we dare not trust in other things to be saved. We cannot trust in human organizations or religious systems or rituals; we cannot trust in legalism (trying to keep laws to get favour with God); we cannot trust in doing enough 'good' works to merit approval.
Until we get to the point where we realize we are helpless and chained to sin, and cry out to God to deliver us, we will remain chained to whatever we are really trusting in. And here's the crunch point. Trust in Jesus Christ alone is what the Bible calls for. That means having faith only in what He did to deliver us, and to save us. We cannot put our faith in Him ALONE, plus in other things! The logic is so simple, yet few see it.
As for 'getting to Heaven' - that is an unfortunate modern phrase. It's misleading. Jesus taught that we enter into the kingdom of Heaven by seeking it first, and God's righteousness. When we do that in meekness, it is ours. When we enter by the strait gate (which is Christ Himself), we have the kingdom of Heaven. Matthew 5:3 is present tense, not future tense. The moment we bend our knees in Jesus' name, trusting in Him alone for salvation, we become subjects of the King of the kingdom of Heaven. When we die, we will be relocated in spirit to the realm 'above' that is God's dwelling-place, to the place Jesus has prepared for His followers, and then on the Day of Resurrection our spirits will be clothed with bodies made fit for eternity in God's presence. Yet those who trust in Christ alone for Salvation now, are actually in the kingdom of Heaven, while we are on Earth. Therefore, we can pray with new significance for God's will to be done on Earth, as it is in Heaven - through us living as subjects of the heavenly kingdom right now.