What I do: I put on my false lashes and eye makeup (not obvious with glasses on) Bra with false tits, jacket over, pantyhose under slacks. Now the tricky part. At Pride parades I use a porta-potty. Or the unisex restroom of an indoor venue. Carry a big bag, strip off slacks, put on skirt, heels, wig, earrings, lipstick, etc.
Did this two months ago in the mens room at Exxxotica. Blasted out fast as possible without making eye contact with the guys in there.
If I have to change in the car I dress from the neck down. Then I only have to put on my wig, makeup and jewelry in the car.