I'm doubtful of that. Hezbollah considers itself a political actor in the context of Lebanon and it's people's interests. I'd be surprised if they think entering a conflict with a neighboring country is in the best interest of Lebanon. If Jolani attacks, then they'll undoubtedly try to dethrone him, however I'd imagine otherwise they'd rather not get involved if it's not an existential threat to Lebanon.

Hezbollah allied with Assad because having a non-Salafi Syrian neighbor insured the safety of Lebanon, as well as the fact that Assad was acting as an anti-imperialist. Not to mention the supply lines from Iran.