In Standard North American English natural speech, pretty much the answer is yes. We link together the words similarly to how you have put it.
The /r/ sound on the end of words like "bar" is not a full /r/, but when it is followed quickly by a vowel, it becomes a lot closer to the same sound as the /r/ in "rope". If you spelled the phrase phonetically, you would get "ʌbɑrʌvtʃɑklɪt", which just connects bar-of without a pause. Without the pause, the /r/ sound gets carried onto the "of". Native speakers will almost always deny that they do this, but it is a matter of phonology.
As for "basket", you most likely hear something closer to "basget" because the /k/ sound that comes after /s/ in English is very different from the /k/ sound at the beginning of words. After /s/, the /k/ loses aspiration and sounds just like the /g/.
If you have questions about pronunciation like this feel free to send me a message ^_^