Yes, the Locator Strategy below:

submit_button = driver.find_element_by_css_selector("input[type='submit']")

is syntactically correct. But as per the copy css selector it should have been:

submit_button = driver.find_element_by_css_selector("div > button[type='submit']")

Note: find_element_by_* commands are deprecated. Please use find_element() instead

Accordingly you can also use:

submit_button = driver.find_element(By.CSS_SELECTOR, "input[type='submit']")

As per copy css selector:

submit_button = driver.find_element(By.CSS_SELECTOR, "div > button[type='submit']")

As you've mentioned

The class name has spaces in it, which lead me to use the css_selector

this is right approach, however you should also make sure that one

1. One should remove the space and put a .
2. . represent class in CSS.

So the below code should work:

driver.find_element(By.CSS_SELECTOR, ".btn.btn-alt.see-full-list-btn")

or you can even use it with the tag a

driver.find_element(By.CSS_SELECTOR, "a.btn.btn-alt.see-full-list-btn")

or the recommended solution would be to use with explicit waits:

see_full_list_button = WebDriverWait(driver, 10).until(EC.visibility_of_element_located((By.CSS_SELECTOR, "a.btn.btn-alt.see-full-list-btn")))
see_full_list_button.click()

Imports:

from selenium.webdriver.support.ui import WebDriverWait
from selenium.webdriver.common.by import By
from selenium.webdriver.support import expected_conditions as EC