No, 11 may have a certain richness compared to ten, but is horrible as it is nearly 12 but not quite, and 12 is the best number. It is also the number of Apostles left after Judas quit (despite 1 Cor 15:5). And it's a prime number, which is bad. Ten is more satisfying all around.
Yes, but asserting the supremacy of 10 is to glorify the Western decimal system of counting over other, equally valid, numerical systems from other cultures, which have been marginalised by the patriarchal hegemony of the Western attitudes to number, particular the oppressive and unholistic notion of the integer. You might as well stage a Nazi revolution, frankly, as say 10 is good. I favour the number bleen, which in Afro-Sino-Mesoamerican cultures, represents, of course, the number that is blue.
Let's use base 36! It would use the entire Latin alphabet, and would have many opf the advantages of base 12 (ie lots of easy to use fractions). And numbers would be shorter to write down, so we would save on ink and paper.