I am not from the liberal/moderate end of the spectrum but I am also far from those on the extreme conservative end too.
The difference between the Methodist church and the Episcopal Church would be difficult to ascertain with any solid line in the sand. Methodism is basically Anglican in theology and maintains a large amount of Anglican practice. However, Methodism grew and spawned the holiness movement and in more recent times the two have (re?)merged into new denominations like the Church of the Nazarene and the Wesleyan church. These newer groups don't hold so firmly to the Anglican practices of Methodism so if you look at them their worship styles are far more modern and Americanised.
OTOH, liturgical Methodism is alive and well in Britain and much of the US. This would be a close kin to the Anglican mother church in many ways, and in fact in the UK the Church of England and the Methodist church
entered into a Covenant agreement which is an outstanding development.
It is no secret that I would be a Methodist tomorrow if the chance came about and I could find a conservative enough church. For me, the Methodist vision is "Anglicanism on fire", and typically the divorce between the Methodist movement and the Church of England and the Anglicans in the US is based more on the religious authoritarianism of Anglican bishops than it is on the evangelical revivalism of the Methodists. In a nutshell, overly religious people always find fault with real Christians, and this is one example in history where resisting the Spirit was the earmark of the religious establishment.
I don't think a reunion of mainline Methodists and Anglicans in the USA is far off.