"When you are not winning in warfare, you are losing," Sen. John McCain said.
The Kentucky Republican targeted the funding in his latest edition of "The Waste Report."
Under the New York Democrat's bill telemarketers could face fines or jail time.
Obama will need lawmakers to approve an ambassador and provide funds for an embassy.
The White House candidate said Obama has not made human rights a priority.
Senators, including Marco Rubio, Ted Cruz and Rand Paul, are asking for a plan by July 15.
Harriet Tubman was previously picked in an online poll to replace Andrew Jackson on the $20 bill.
The Republican presidential hopeful said Jerusalem should have a U.S. embassy before Havana.
The Republican leader added that a constitutional amendment likely wouldn't pass Congress.
The Florida Republican is the latest lawmaker to voice their concern over the talks.