"To push the issue" means to insist or persistently bring up a particular topic or problem in order to draw attention to it and try to find a solution. Full definition
During the federal election happening at the same time, she helped push the issue of missing and murdered Indigenous women and girls to the forefront of political discussion. (firstnationsdrum.com)
Many government reform advocates have criticized the governor for not pushing the issue hard enough. (nydailynews.com)
In office, he's pushed issues on college affordability and online transparency in political spending. (nystateofpolitics.com)