The Louisiana Purchase, which was actually made by Jefferson himself, was a shift in his general principles because it required great power on behalf of the federal government, which Jefferson himself didn't like. The same goes for the Monroe Doctrine.
Right now, I would call them "diaspora" if they're more dispersed (Armenian diaspora is quite well-known) or a "community", for example "French community" if they're more closely in contact.
If they reject their new land's law and intend to include this land into their old one, they could be "colonizers".
I think it is not led to spirit it is led to split.
The issue which led to split in the democratic party in the late 1850s is slavery.
Democratic Party was founded by James Madison and Thomas Jefferson in the year 1790s and it was a counter to Federalist Party and helped in promoting states’ rights. Democratic Party split and formed democratic which was with Andrew Jackson and the other part is Whig parties and this was caused by Monroe’s successor together with the dissolving of Federalist Party. Slavery issue also led to another split.
Democratic Party was well known in promoting social liberalism which resulted in health regulation in the wake of public outrage and better working conditions