Ted Cruz will not stand alone. He'll be joined by the Senator from Utah.
Here's a statement from Senator Lee's office:
"I will join Senator Cruz in objecting to Senate consideration of any Continuing Resolution without a vote on delaying funding of Obamacare. Defunding Obamacare is essential to restoring economic growth. At this time of fiscal turmoil, Congress shouldn’t borrow more money to pay for something we cannot afford. Although I would prefer a full repeal of Obamacare, we should at minimum delay its implementation until our country is experiencing real, sustained economic growth."