Catholics will find much that is familiar in Islam: love of Mary, reverence for the prophets, structured daily prayer, fasting, charity and pilgrimage. Mary holds the highest honour among women in the Qur'an, chosen and purified above all (Qur'an 3:42-47). The devotional life you know has deep echoes in Islam.
The heart of the invitation is direct access to God's mercy. In Islam there is no clergy or confessor between you and God; you turn to Him in private repentance and He forgives the one who sincerely returns, never asking you to despair (Qur'an 39:53). Worship and supplication are offered to God alone — not to saints or intermediaries — because He hears every heart directly (Qur'an 112:1-4).