Taking a look to https://support.stripe.com/questions/what-exactly-do-i-need-... it looks like you only need to use stripe.js and SSL and you're ok.
http://usa.visa.com/merchants/risk_management/cisp_merchants...
Requirements scale with processing volume, and are generally minimal for merchants processing under 20k Visa transactions annually.
Many gateways use tokenization to dramatically reduce PCI scope for their merchants. It's fairly standard, actually. Even with tokenization, merchants have compliance obligations. The required network scans, for example, protect consumers from merchant websites being compromised ahead of the tokenization step.