House Speaker Mike Johnson (R-La.) is staring down a brutal stretch of deadlines and uncomfortable votes when the House returns from recess next week. Why it matters: Johnson bought himself time this spring by punting a series of politically difficult fights. But those deadlines are now coming due, setting up a brutal June for House Republicans. Johnson will have to navigate expiring surveillance authorities, a growing push for another reconciliation package, and several politically difficult floor votes. Driving the news: Congress left town last week without approving funding for ICE and Border Patrol by President Trump's self-imposed June 1 deadline. House conservatives are frustrated with their GOP counterparts across the Capitol and are expected to renew demands for action when lawmakers return. Senators remain deadlocked over the path forward after a revolt over Trump's $1.8 billion weaponization fund.…