Any provision of the general statutes to the contrary notwithstanding, any elector of a borough may, in connection with any borough election, enroll in, be affiliated with, be a candidate for nomination or election of, or in any other manner participate in the affairs of, a political party or organization which names candidates for borough offices, despite his participation in any manner, in connection with any state, town or city election, in the affairs of any political party or organization. Such participation, in connection with any borough election, shall not affect the right of any such elector to participate, in connection with any state, town or city election, in the affairs of any other single political party or organization. The provisions of sections 9-51 to 9-67, inclusive, regulating party affiliation of electors shall apply to the intraborough political activities of any such elector.