Low Cut Connie frontman Adam Weiner is used to winning over crowds.

His band’s energetic take on classic ’50s and ’60s rock ’n’ roll and Philadelphia soul has won over some big names in the music world and beyond, starting with a glowing review of its 2010 debut album “Get Out the Lotion” from legendary rock critic Robert Christgau. New England songwriter Merrill Garbus (better known as Tune-Yards) and Elton John have since declared themselves fans, as has former President Barack Obama, who included the band’s song “Boozophilia” in his summer 2015 Spotify playlist. And last month, Weiner met Bruce Springsteen after a show on Broadway, and it turns out he’s a fan too: “Met the Boss. He digs LCC. Springsteen on Broadway is a masterpiece. Great night all around,” he posted on the band’s Facebook page.

The band is now facing possibly its toughest audience yet: Social Distortion fans. Weiner and company — guitarists James Everhart and Will Donnelly, drummer Larry Scotton, bassist Lucas Rinz and latest addition Saundra Williams on vocals — hit the road with the seminal punk/country/blues band last month. The tour, also featuring Aaron Lee Tasjan, will be at the Midtown Ballroom on Sunday.

“Their fans are tough, tough, but we win them over,” Weiner said recently from somewhere in Ohio on the way to a gig in Columbus. “We come out — I think it was the first night we went out onstage in San Francisco, and we said, ‘Hey, how you guys doing?’ and somebody yelled, ‘Go home!’ And I said, ‘All right, tough crowd.’ And then we proceeded to win them over in 30 minutes. I play the odds — I try and get 60 or 70 percent of the people on our side, and we’re usually successful.”

Weiner feels a kinship with Social Distortion, which he called “one of the ultimate cult bands for the better part of 30-plus years.” Despite the love from famous fans, Low Cut Connie could be considered a cult group as well, he said.

“Mike Ness and the band, they said to us that when they were at our level, Neil Young reached out and brought them out on tour, and it really brought them to a wider audience, but it gave them a lot of confidence that they could achieve bigger things,” Weiner said. “It seems to me like they wanted to spread the love a little bit, and that means a lot. I can’t say I’m surprised because we’ve been out there for a few years and our name has spread around, but we are still — you know, the blessing and the curse of being a sort of cult band is that your name hasn’t traveled to everybody — you’re not a household name — but those that know us hold us in some kind of regard.”

The last eight years haven’t always been smooth sailing for the group. Just before the release of its third album, 2015’s “Hi Honey,” Weiner’s songwriting partner Dan Finnemore left the band to move back to the U.K. Weiner, who grew up just outside Philadelphia in New Jersey, wrote the bulk of the material on the band’s most recent releases, last year’s “Dirty Pictures (Part 1)” and this year’s “Dirty Pictures (Part 2).”

“The lineup is always sort of constantly changing — we do 120 shows a year and it’s a grueling but very rewarding endeavor,” Weiner said. “We’ve grown actually in the last year, we added a woman named Saundra Williams to the band, who was in Sharon Jones & The Dap Kings for many years. So it’s constantly growing. But this was the first — ‘Dirty Pictures (Part 1)’ was the first one where I was producing it myself and wrote all but one of the songs. It was definitely a new vision, but I think an expanded vision. The pressure was on for sure.”

Both albums were recorded in the same session, and taken together, they showcase a more mature sense of storytelling than the party-ready material found on the band’s first three albums. Weiner, who got his start playing piano in gay bars, karaoke bars and other smaller venues in New York City, said the albums are a progression from the band’s side-project roots.

“Low Cut Connie started as a side project, but the side project kind of took over — it was the one that traveled some distance,” he said. “… I had a lot of irons in the fire, and Low Cut Connie really took off, but it wasn’t the full range of what I was writing. I wanted over time to see if I could expand and allow some of my other material into the frame.”

One thing that hasn’t changed is the band’s high-energy live shows. Weiner in particular is known for his Jerry Lee Lewis-esque playing style — he can often be seen standing in front (or on top) of the piano, egging the crowd on.

“I spent a lot of years playing guitar,” he said. “When you play piano, you travel all around and places don’t have pianos, so I had to learn how to play guitar. So then all of a sudden I’m in the band and I’m playing piano, but all of a sudden I’m sitting, and I was for years used to singing standing up and running around. So it just felt very constrictive to just sit there.”