Is the following concept in line with the mainstream teachings of the Trinity?

Since becoming Catholic and being exposed to some Islamic and Jewish criticism on the Trinity I am again struggling with the concept and its relationship of monotheism. What I do understand is that it is supposed to be a description of the inner working of the One, not some kind of polytheism (which I do not want to believe in). So, I have thought about it a lot and I came up with the following statement: *”We believe because of God, through God, in God.”* What do I mean by this? * "because of God" is God the Spirit, which causes us to recognise God. Only God can recognise God, and thus animals cannot perceive him, as they do not have the Spirit. The prophets of old also had the Spirit, which spoke through them. * "through God" means the way to God, his Word, our Lord Jesus. He became fully man, while remaining fully God, and through his death made it again possible to be in a relationship with the one God. He also was the only one who aligned his will perfectly with the will of the Father. He has his own, human will, that always did what the Father wants. * "in God": this is the Father, our ultimate goal and destination. I think the word “person” adds unnecessary complexity, as its current meaning is not the one it had 1500 years ago. Is this a correct mainstream and biblical understanding of the Trinity? Are there any suggestions to improve this? (And, as a bonus, does anyone have any suggestions for dealing with the concept of the Trinity?)