CAIRO - The Islamist Muslim Brotherhood said it would not use its success in Egypt's parliamentary election to impose its will on the drafting of a new constitution and would work with all rival political groups on the blueprint. Egyptians go to the polls for a second day on Wednesday in the final stage of the election for the lower house of parliament, the first free legislative vote since military officers overthrew the monarchy in 1952. The Muslim Brotherhood's Freedom and Justice Party (FJP) has led after two of the three rounds of voting so far, and the rise of Islamist parties in the poll has prompted Western concern for the future of Egypt's close ties to Washington and peace with Israel. Founded in 1928, the Muslim Brotherhood is Egypt's best organised political force, emerging stronger than others from three decades of autocratic rule under Hosni Mubarak, who was toppled by mass protests last year. The new parliament will pick a 100-person assembly to write a new constitution. "The party's winning of the majority in the new parliament does not mean going it alone in writing the constitution without consideration for the rights of other Egyptians, or ignoring the political forces which did not get a majority or failed in the parliamentary elections," said FJP head Mohamed Mursi. "All political forces and intellectuals in Egypt, regardless of their political and religious allegiances, will take part in writing the constitution," said Mursi, whose comments were published on the Muslim Brotherhood's website on Tuesday. The more hardline Islamist al-Nour Party has come second in the voting so far. It is a Salafi group promoting a strict interpretation of Islamic law and its success has raised the prospect of a chamber dominated by Islamists. Some analysts believe, however, that the Muslim Brotherhood could seek to build a coalition with secular groups. That could ease concerns at home and in the West about the rise of the Islamists in a country whose economy is propped up by tourism. The staggered lower house election concludes with a run-off vote on Jan. 10 and 11, with final results expected on Jan. 13. Voting for the upper house will be held in January and February. The election will produce the first Egyptian parliament with popular legitimacy in decades, raising the possibility of friction with the military council which has governed since Mubarak stepped down in February.