i agree with most said here...

if it were me and i KNEW i could make the turn without stopping (or maybe by going a little past and making a u-turn)... then i would i take the left lane at the intersection and sprint really fast to keep up with traffic (assuming it's not a 50mph zone or something where it's unsafe to go 25mph in the left lane)

but if any of these is not true, which is likely, i'd either cross before or after at the intersection as others have suggested --- or if at all possible turn earlier and take a side street (is that possible, or are there no side-streets or they are the -wonderful- subdivision 'no-thru street' variety?)

if there is no other way and i had to take the crosswalk/sidewalk route i would ride even though you probably technically/legally should walk the bike -- if i ever did got stopped by a cop i would explain the situation and inquire as to how i should safely navigate the left turn onto the bike path