The Wesleyan Church (and the Free Methodist Church) requires acceptance of the old Methodist beliefs about Sanctification, requires members to swear off all alcohol, tobacco, and membership in Secret Societies. It is also strongly conservative on such contemporary social issues as abortion and homosexuality.
As you know, the (United) Methodist Church has both a conservative and a liberal wing. In practice it is very much involved in socio-political activism, particularly in support of pacifism and abortion on demand, and a lot of Masons are Methodists. The Wesleyans are not, as a church, involved in political activism. The Methodists also retain elements of the Anglican liturgy in worship, but the Wesleyans are not liturgical at all.