MPs are locked in a twin stand-off with the House of Lords over identity cards and anti-terrorism laws.
The plans are likely to ping-pong between government and peers
Peers have three times defeated the government over proposals to force all passport applicants to get ID cards.
But MPs have again reversed the defeats as Home Secretary Charles Clarke told opponents to stop "frustrating the will of the people".
The Commons also overturned a Lords defeat over plans to outlaw the glorification of terrorism.
Peers have twice removed any mention of "glorification" from the Terrorism Bill.
There is a "ping pong" battle over both the ID card plans and the terror laws, with the Commons now sending both bills back to the Lords in the continued test of wills.
The government won the latest Commons vote on the ID cards plans by 292 to 241.
Amid suggestions ministers might force through the plans using the Parliament Act to overrule the Lords, Mr Clarke said: "I do not think ... we have reached the point where this option should be invoked."
On the glorification issue, Tory shadow attorney general Dominic Grieve said the definition of the word was unclear.
The Tories and Lib Dems say other parts of the bill banning the indirect incitement of terrorism close any current loophole in the laws.
But MPs reinstated the glorification offence by 296 votes to 237.