I would answer as a person in the Reformed Protestant tradition, sticking to that view of the Person of Christ as in the Apostles, Nicene and Athanasian Creeds which, although not having the same wording in the Westminster Confession of Faith, are all in total agreement about the Person of Christ. The Bahá'í faith is one of the youngest of the world's major religions. It was founded by Bahá'u'lláh (1817-1892) in Iran around 1844. Here are some quotes from their site, below:
1) What is the Baha’i meaning of the Trinity, of the Three Persons in One?
“The Divine Reality, which is purified and sanctified from the
understanding of human beings and which can never be imagined by the
people of wisdom and of intelligence, is exempt from all conception...
God is pure perfection, and creatures are but imperfections. For God
to descend into the conditions of existence would be the greatest of
imperfections; on the contrary, His manifestation, His appearance, His
rising are like the reflection of the sun in a clear, pure, polished
So the Reality of Christ was a clear and polished mirror of
the greatest purity and fineness. The Sun of Reality, the Essence of
Divinity, reflected itself in this mirror and manifested its light and
heat in it; but from the exaltation of its holiness, and the heaven of
its sanctity, the Sun did not descend to dwell and abide in the
mirror. No, it continues to subsist in its exaltation and sublimity,
while appearing and becoming manifest in the mirror in beauty and
perfection. Now if we say that we have seen the Sun in two mirrors—one
the Christ and one the Holy Spirit—that is to say, that we have seen
three Suns, one in heaven and the two others on the earth, we speak
truly. And if we say that there is one Sun, and it is pure singleness,
and has no partner and equal, we again speak truly. The epitome of the
discourse is that the Reality of Christ was a clear mirror, and the
Sun of Reality—that is to say, the Essence of Oneness, with its
infinite perfections and attributes—became visible in the mirror. The
meaning is not that the Sun, which is the Essence of the Divinity,
became divided and multiplied—for the Sun is one—but it appeared in
the mirror. The Holy Spirit is the Bounty of God which becomes
visible and evident in the Reality of Christ. The Sonship station is
the heart of Christ, and the Holy Spirit is the station of the spirit
of Christ. Hence it has become certain and proved that the Essence of
Divinity is absolutely unique and has no equal, no likeness, no
equivalent. This is the signification of the Three Persons of the
The Oneness of God is also proved.” http://reference.bahai.org/en/t/ab/SAQ/saq-27.html
In the above quote, when it is stated that, "The meaning is not that the Sun, which is the Essence of the Divinity, became divided and multiplied" (the bit I put in italics, above) that shows the failure of the Bahá'í religion to even understand the Christian Trinity doctrine, which at no point even suggests that God became divided and multiplied.
Likewise, nearer the start of the quote above when it is claimed, "For God to descend into the conditions of existence would be the greatest of imperfections" - that shows Gnostic belief which is anathema to Christianity.
2) Does this square with Christian Reformed Tradition views of the Person of Christ, in the Trinitarian sense?
This indicates that the Bahá'í faith does not agree with the Christian concept that the One Being of God subsist the three co-equal, uncreated and eternal Persons of the Father, the Son and the Holy Spirit. Yes, they agree that there is only the One Being of God, but they also believe that this God "manifests" through a variety of humans. They claim that Baha’u’llah is now the perfect reflection of the attributes of God which humanity needs at time to progress spiritually. Bahá'ís believe that Bahá'u'lláh is the most recent Manifestation of God, that Bahá'u'lláh himself stated that he is not God's final messenger. According to Bahá'í scripture God will continue to send Messengers to mankind as needed, with those appearances approximately 1,000 years apart.
On that last point, Christians of the Reformed tradition would quote the Bible verses in Hebrews 1:1-4 that state:
“In the past God spoke to our forefathers through the prophets at many
times and in various ways, but in these last days he has spoken to us
by his Son, whom he appointed heir of all things, and through whom he
made the universe. The Son is the radiance of God’s glory and the
exact representation of his being, sustaining all things by his
powerful word. After he had provided purification for sins, he sat
down at the right hand of the Majesty in heaven. So he became as much
superior to the angels as the name he has inherited is superior to
The Bahá'í faith developed from Islam and the Babi faith and claims to be the fulfilment of Hinduism, Judaism, Zoroastrianism, Buddhism, Christianity and Islam. According to Baha’i teaching, the inner reality of the Buddha, Jesus, Krishna, Mohammed, Zoroaster, Abraham, Moses and others was all exactly the same inner reality. All the major world’s religions came from one and the same God, Buddhism included. But no Christian can accept any person who claims to be a prophet of God who is even equal to the unique status of Jesus Christ, the Son of God, let alone superior to the risen Christ. The Bahá'í religion accepts all other faiths as true and valid That is why Christianity is not compatible with Bahá'í religion, for most of their beliefs clash with the foundational Christian doctrine of the Trinity and the Person of Christ.
It needs to be pointed out that Christian use of that text in Hebrews ch. 1 does not accord with Bahá'í belief that Jesus, the Son, is distinct from God (as a mirror is distinct from the sun, which rays it may reflect.) The Bible adds that this Son of God is God, and not a created, different divinity, as per John 1:1-3 and many other verses. Jesus, the Son, is the Eternal (uncreated) Son, equally God as is the Holy Spirit, having this one Being of God.
Your very helpful quotes in your answer provide more necessary comparison between official Baha’i beliefs and Reformed Protestant ones. It becomes clear that Bahá'u'lláh is elevated in the eyes of Bahá'í believers to the unique position which the resurrected Jesus Christ alone occupies. That is one of the main differences, but I cannot go into all the doctrinal differences here - I confine my answer to the Trinitarian aspect.