Well it is an interesting puzzle. I would think that in terms of the law, one could argue that a cyclist on a bike trail is a "pedestrian". So that would give you a plus.

Generally, left turning traffic has to yield to through traffic. I think that one counts for pedestrians also.

I do not think that you have a situation of stop signs going on here. The cross traffic has the right of way over the cyclists on the MUP and autos at the intersection.

In my way of thinking, the MUP is offset from the intersection so once the auto comes to a complete stop and proceeds he has the "right of way" over the cyclists at the crossing. However, as far as I know, the "right of way" does not give anyone the right to run over pedestrians or cyclists even if they are "wrong" or even an auto that "fails to yield".

If the auto had finished his stop, checked the cross traffic and started before you entered the road, he would have had the right of way. But he would still be compelled to stop is he saw you.

I really, really do not like most of these MUPs. They parallel busy roads and present multiple opportunities for motorists to turn right or left and potentially pile into a cyclist crossing a side street that the motorist is pulling into. If the major road is at all wide and not horrendously busy, I prefer to take my chances in the traffic where the right of ways are much more clear cut.