رضا:
Assimilation can and does occur, but I don't think ten birds is a very good example. I can hear the /n/ when I pronounce it. I agree that the other examples you mentioned sound more American than British. But I'm not entirely comfortable with generalizations such as "Americans say /inkrejeles/ and Brits say /inkredyeles/". Such patterns may hold in many cases, but certainly not in all. And some of these differences are subtle enough that they can easily vary from region to region, from person to person, and from occasion to occasion.

Blue-eyed should be hyphenated. A blue-eyed person is a person with blue eyes; a blue eyed person is a blue person with eyes. (I don't think I have ever seen blueeyed as one word without a hyphen, and it looks quite uncouth.) It's up to you to decide whether you want to count vowels across the hyphen, but the y should be counted as a vowel. But perhaps this is moot. You mentioned the word queue; its past participle can be spelled queuing or queueing.

It's not uncommon to have four consecutive consonantal sounds. Think of words like explain, exclaim, and extract. Or perhaps backstroke. Now that we're thinking about swimming we mustn't forget the breaststroke, which has a string of five consonants. I can get six if you let me use a two-word phrase such as next spring.