Actually, maybe I'm wrong. Maybe Lindsay Lohan in a Police shirt isn't ironic. Maybe it's actually completely perfect. As perfect as Kid Rock launching his own beer. Or Kevin Federline finally letting himself go to the point where he looks like he ate three of his former selves. Or Madonna getting a gig as the poster girl for Muscle Milk. (Give it two weeks.)
Given her criminal record, I'm assuming Lindsay Lohan Police shirt has little to do with the band and more to do with law enforcement and the LAPD. Although, she hasn't had an arrest warrant out since March 2009 (W2G, Linds), with Lindsay, there are often legal woes looming. Also, she should've been arrested for that Fornarina commercial.
Anyway, if you're into Lindsay's retro-nuevo vintage-style Police shirt, it's by Public Library, and it's $48 at Singer22.com.