Half of the uninsured polled by Kaiser said they don't have enough information to understand how the law will impact their own families, and nearly two-thirds say they know only a little (37 percent) or nothing at all (26 percent) about the exchanges.

Also challenging is favorability on the law: Public opinion on PPACA looked like it did after HealthCare.gov's disastrous launch in November, Kaiser found. In February, nearly half (47 percent) have an unfavorable view of the law (down slightly from 50 percent last month) and just over a third view it favorably (35 percent, compared to 34 percent last month).

The tracking poll also examined the kind of plans consumers are interested in buying under PPACA. It found that people most likely to buy coverage through PPACA's exchanges are more willing than the public at large and people with employment-based coverage to accept a narrow network of doctors and hospitals in exchange for lower costs.

Overall, more people say they would rather have a plan that costs more money but allows them to see a broader range of doctors and hospitals (51 percent) than a less-expensive plan that allows them to visit a narrower network of providers (37 percent).

But that's not the case for those especially targeted by the administration for signing up for coverage — the uninsured and those who purchase their own coverage directly. A majority (54 percent) of this group says they prefer less costly, narrow network plans to more costly broad network ones, compared to just over a third (35 percent) who feel the other way.

The poll also found that those who prefer narrow-network plans may be less likely to do so if it means they can't see their usual providers.

Narrow networks have garnered more attention with the law, with critics saying new PPACA plans don't adequately cover enough providers.

Kaiser Family Foundation polled 1,501 adults Feb. 11-17.