Amendments are proposed and actually introduced a lot, especially by Republicans. Since 2000.
A balanced budget amendment, in which Congress and the President are forced to balance the budget every year, has been introduced many times.
School Prayer Amendment proposed on April 9, 2003, to establish that "The people retain the right to pray and to recognize their religious beliefs, heritage, and traditions on public property, including schools."[5]
God in the Pledge of Allegiance – declaring that it is not an establishment of religion for teachers to lead students in reciting the Pledge of Allegiance (with the words "one Nation under God"), proposed on February 27, 2003, by Oklahoma Representative Frank Lucas.[6]
Every Vote Counts Amendment – proposed by Congressman Gene Green on September 14, 2004. It would abolish the electoral college.[7] Partly a response to the controversy surrounding Al Gore's defeat in the 2000 election.
Continuity of Government Amendment – after a Senate hearing in 2004 regarding the need for an amendment to ensure continuity of government in the event that many members of Congress become incapacitated,[8] Senator John Cornyn introduced an amendment to allow Congress to temporarily replace members after at least a quarter of either chamber is incapacitated.[9]
Equal Opportunity to Govern Amendment – proposed by Senator Orrin Hatch. It would allow naturalized citizens with at least twenty years' citizenship to become president.
Seventeenth Amendment repeal – proposed in 2004 by Georgia Senator Zell Miller. It would reinstate the appointment of Senators by state legislatures as originally required by Article One, Section Three, Clauses One and Three.
The Federal Marriage Amendment has been introduced in the United States Congress four times: in 2003, 2004, 2005/2006 and 2008 by multiple members of Congress (with support from then-President George W. Bush). It would define marriage and prohibit same-sex marriage, even at the state level.
Twenty-second Amendment repeal – proposed as early as 1989, various congressmen, including Rep. Barney Frank, Rep. Steny Hoyer, Rep. José Serrano,[10] Rep. Howard Berman, and Sen. Harry Reid,[11] have introduced legislation, but each resolution died before making it out of its respective committee. The current amendment limits the president to two elected terms in office, and up to two years succeeding a President in office. Last action was in February 2009.
On January 16, 2009, Senator David Vitter of Louisiana proposed an amendment which would have denied US citizenship to anyone born in the US unless at least one parent were a US citizen, a permanent resident, or in the armed forces.[12]
On February 25, 2009, Senator Lisa Murkowski, because she believed the District of Columbia House Voting Rights Act of 2009 would be unconstitutional if adopted, proposed a Constitutional amendment that would provide a Representative to the District of Columbia.[13]
On November 11, 2009, Senator Jim DeMint proposed term limits for the U.S. Congress, where the limit for senators will be two terms for a total of 12 years and for representatives, three terms for a total of six years.[14]
On November 15, 2011, Representative James P. McGovern introduced the People's Rights Amendment, a proposal to limit the Constitution's protections to the rights of natural persons, and not corporations.[15]
From http://en.wikipedia.org/wiki/List_of_proposed_amendments_to_the_United_States_Constitution#21st_century
Strict constitutionalists? Hardly