I will begin by offering my sympathies on what sounds like a tough situation.
I think that you need to have a frank talk with your advisor ASAP. What he's telling you to do might or might not be good advice. Which one it is depends, in particular, on how serious the problem really is and/or what the prospects are for fixing it by the deadline. Practically speaking, the first is something that will be primarily determined by your thesis committee. If you think the work is without value but the committee disagrees, then you will still end up with a master's degree, which is what you presumably want. Of course it would be better to turn in a thesis that you feel better about and/or is actually better / not flawed but...is that option still on the table? If you have no motivation, are not enjoying your program and are seriously considering quitting right now, then it may not be. From a rational perspective it's hard for me to see what advantage there is to quitting a program and getting no master's degree versus getting a master's degree with a thesis that is (either apparently or objectively) rather poor. You shouldn't try to hide the flaws from your committee -- that would be a form of academic dishonesty -- but it's hard to see why it shouldn't be grudgingly acceptable to you if it's grudgingly acceptable to them.
The worst case, it seems to me, is that you are headed for a thesis that is not going to be acceptable to the committee and your advisor somehow doesn't care to get involved enough to avoid this. That's what you want to find out.
I really don't want to create a conflict with my advisor.
No one wants to create a conflict with their advisor, but in your situation your aversion to conflict seems not to be what an objective, outside observer would regard as rational behavior. Always assuming that you behave civilly and that your advisor has no extra-professional leverage on you....what's the worst thing that can happen if you have a real professional falling out with your advisor? You might get kicked out of the program without a degree? That's what you're contemplating anyway, so this seems to be a situation where if you can't get what you want without rocking the boat, then go ahead and rock it. (This could be bad advice if you want to start up a different master's program elsewhere and you need your advisor's recommendation. But that doesn't sound like it's the case.)
From the vantage point of someone who does not know you or your situation but has seen some pretty shaky work be awarded a master's degree, I would encourage you to avoid the impulse of bailing out on your degree unless there is no other reasonable alternative. I think it's very likely that N years down the line it will be strongly in your best interest to have the credential in your pocket. I think most people who don't continue on in academia forget mostly to entirely about their thesis work whether it's good or bad, and I don't know of many mechanisms that would dredge up this past work.
Hang in there, and good luck.