That's also true for other western European groups like Germans and Dutch, especially in urban areas.I don't know if it it's a question of not wanting to recognize them. UK immigrants tend to integrate here within one generation almost without any effort. Unless you're really conspicuous and conscientious about maintaining the old ways and passing them on to your kids (foods, customs, cultural references ... accent?). The British-Canadian community here is not fostering values or customs that are all that different from mainstream Canada's.
The exception being the religious Amish/Mennonite areas in rural Waterloo and Perth counties and in southeast Manitoba.
A lot of Dutch are very religious and socially conservative as well. But I don't think language is really part of it, even if a lot of the SW Ontario Dutch belong to evangelical churches.