To the best of my knowledge Thompson hasn't proposed any alternatives to bike lanes, he simply said he'd rip out the Grand street bike lane and re-examine every bike lane put in during the Bloomberg administration. I emailed his campaign about a month ago after the Villager quoted Thompson as saying bike lanes had been "a nightmare" All I got in response was a request for campaign donations.

He also said he'd get rid of all of Bloomberg's commissioners. He seems be running as the anti-Bloomberg.
I'm no fan of Bloomberg but I do feel he has some good people on his team. DOT commissioner Janet Sadik-Kahn has done a lot to make cycling in this city better.