Louis Philippe II, King of the French

Prince Philippe d'Orléans, Count of Paris (Comte de Paris) became the Prince Royal, heir apparent to the French throne, when his father, Prince Ferdinand Philippe, Duc d'Orléans, died in a carriage accident in 1842.
Although there was some effort during the days after the abdication of his grandfather in 1848 to put him on the throne under the name of Louis Philippe II, with his mother Helene as regent, this did not occur.
The French Second Republic was proclaimed in its stead.

Suppose King Louise Philippe I does not abdicate in 1848. He reigns until his death August 26, 1850.
His grandson succeeds as Louis Philippe II.
Helene, Duchess d'Orléans, is a successful regent. What happens then?

Hélène's regency was non-existent. The reason AFAIR why the chambers refused to accept it (and IMHO it's a bit of karma for LP's family, since they blocked the Cte de Chambord from succeeding in 1830 - what goes around comes around and all that) was Hélène was Protestantand the next royal male was the duc de Nemours - who was conservative minded. As a result, the Chambers were unwilling to entrust a regency to said persons. Now, if Hélène had converted when she married the Prince Royal, then we might have a shot. Otherwise, no way a Protestant is leading a predominantly Catholic country, Mary of Modena might've had a better chance leading England as regent for James III.

Suppose that before Prince Ferdinand Philippe married her, Helene of Mecklenburg-Schwerin converts to Catholicism.
Suppose her son becomes Louis Philippe II in 1850.
Helene, a devout Catholic is a successful regent. What happens then?