Hi there
The core (distinctives) of Methodism would be the four alls of Methodism;
All need to be saved (Original Sin, howsoever you understand it)
All may be saved (Unlimited atonement)
All may know themselves saved (Assurance)
All may be saved to the uttermost. (Christian Perfection/Entire Sanctification)
The Gospel, Holy Communion and Hymn Singing are essential to Methodism.
Methodism arose from the Evangelical Revival in Great Britain (woo
) so has always had a very strong focus on the Gospels. We arose from the Church of England from the arminian school of theology; the CoE is doctrinally calvinist, so this is where the break came, even though J Wesley always said he was an Anglican Priest. Coming from the Higher side of the CoE, Holy Communion has always been important, and we have a fairly high theology; it is a sacrament, we have the same liturgy as the CoE, we believe in the Real Presence etc... Wesley was sent to the American Colonies as a priest, and had many struggles with his faith. On one of the journeys to America there was a bad storm, in which he was calmed by Moravians singing hymns. From this he recognised the importance of hymn singing in worshipping God. His brother, Charles Wesley (also an Anglican Priest) was an excellent hymn writer, and wrote over 6,000 hymns, many of which are still sung today by all denominations (from the RCC to the most charismatic non-denominational church). Methodists are known to be great singers
Ours services vary but not massively. In the USA I think they tend to be more 'high'. In Britain, we follow the 5 hymn sandwich in most Methodist churches, with a mix of traditional hymns and more modern worship songs. Once a month we celebrate Holy Communion following the liturgy. All services include, hymns, at least two readings (following the
Revised Common Lectionary) and prayers (confession, adoration, intercession, thanksgiving, the Lord's Prayer, Benediction).
Other churches;
We are fairly big on ecumenism.
I can't speak for the USA on links with Lutheranism. In Britain, the Lutheran Church is tiny/non existent because of the predominance of the Anglican Church which is extrememly close to the Lutheran Church. In Britain we are strongly united by the
Anglican-Methodist Covenant. Pentecostal churches are an off-shoot from Methodism (for the most part), so whilst not being fully in agreement theologically, have no problem (usually) in getting on. In Britian, Methodists are involved in Churches Together and regularly communicate happily with all denominations.