as you see there can be lots of different reasons for breaking thread when we are quilting...i would think it has nothing to do with your machine being capable of doing the job, you can quilt on pretty much any machine. first things to do is change your needle. make sure the size needle and eye opening is the correct size for your thread and what you are working on. then rethread the machine. take it slow and try again, test the thread for strength by pulling out about 10" wrap it around both hands and give it a tug, does it break easily? if so you need some different thread...it should be quite difficult to break the thread by hand.
and it does not matter how much you spent on the thread or what brand it is, everyone uses different threads. the key is finding the one that works for you! i have spent upwards of $20 a spool for quilting thread i could not use...except for hand basting type stuff...garbage thread...and then i've bought $1 a spool threads that worked fine...it depends on so many different things. these days i have been buying all of my threads from connecting threads and have been very happy with them. but the needle has to be the right size needle too. visit Superior Threads they have lots of great information on needles and threads.
don't give up!